Mary-Miriam-Maryam and her son Jesus-Eesa are VIP (very Important Persons) and have a very special status in Islam compared to any other Faith in this world. They were the descendants of Abraham born into honored families. Miryam (Maidservant of Allah), is the only female character by name mentioned 34 times in the Quran and as a title of Chapter-19. Quran narrates the details of Maryam from her conception to Youth and Womanhood to delivery of her son - Jesus.

Jesus Eesa (Esau, Yeheshua Jesus-Christ) was a Prophet and Messenger as well. He received One Book called the Injeel / Gospel. He was similar to the Messengers and was a Chosen Man who performed Miracles, who brought the message and preached about the Unity of God. He was the only Prophet raised alive and is mentioned in 29 times (more than Prophet Muhammad who was only mentioned 4 times).

Jesus was the only Prophet titled as Messiah, mentioned with his mother's name (Eesa-Ibn-Maryam / Jesus-Son of-Mary), talked from the cradle and lifted Alive to come back at the last hour. His birth was miraculous (as that of Adam with no father or mother and of Eve with no mother).

Mary's father was Imran and her son was Eesa. Both were the descendants of Prophet Abraham thru Isaac. The wives of Imran and Zachariah were sisters. Mary's Uncle was Zachariah (Yahiya/John the Baptist the son of Zachariah.) Therefore Jesus and John (Yahiya) were cousins.

Honored
The chapters 3 and 19 in Quran are titled after the names of Mary's father and Mary.
Quran 3:42 '... O Mary! God has chosen you and purified you and again he has chosen you above all women of all nations of the worlds'
Quran 5:75 '...  His (Jesus) mother (Mary) was a woman of truth.'
Quran 21:91 'And (remember) her who guarded her chastity: We breathed into her of our spirit and we made her and her son a sign for all peoples.'
Quran 3:3 'She was assigned to the care of Zachariah.' (Guardian & Uncle)

Birth of Jesus Foretold
Quran 3:45: Behold! the angels said: 'O Mary! Allah giveth thee glad tidings of a Word from Him: his name will be Messiah-Christ Eesa, the son of Mary, held in honor in this world and the Hereafter and of (the company of) those nearest to God/Allah... '
Isaiah 7:14: Therefore the Lord himself shall give you a sign; Behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel.
Mathew 1:23: 'Behold, a virgin shall be with child, and shall bring forth a son, and they shall call his name Emmanuel, which being interpreted is, God with us'.

Conception
Quran 66:12 'And Mary the daughter of 'Imran, who guarded her chastity; & We breathed into (her body) of Our spirit; & she testified to the truth of the words of her Lord & of His Revelations, & was one of the devout (servants).
Quran 19:16-17 'Relate in the Book () Mary, when she withdrew from her family to a place in the East. She placed a screen from them; then we sent our Angel (Gabriel) and he appeared before her as a man in all respects.'

Birth
Birth of Jesus: was unique, similar to prophet Adam (without Parent) & Eve (without father). The most miraculous was of Prophet Adam (AS) who was created from nothing versus any person need something to create something whether it is living/non-living objects like cloning & artificial insemination for babies).
Quran 3:59: 'the similitude of Jesus before God is as that of Adam, He created him from dust, then said to him: 'Be'... . And he was'.
Luke 1:37:  'For nothing is impossible with God'
Quran 19:33: ' So Peace is on me the day I was born, the day That I die, and the day that I shall be raised up to life again'
Hadith: 'None are born except that Satan touches them upon their birth, due to which it comes out screaming from its touch, except Mary and her son (Jesus) Ahmed}

Post Partum
Quran 19:25:  'And Shake towards thyself the trunk of the Palm tree: It will let fall fresh ripe dates upon thee'
Quran 19:24 'But (a voice) cried to her from beneath the Palm tree ' Grieve not! For thy Lord hath provided a stream/rivulet beneath thee'
Quran 23:50: 'And We made the son of Maryam & his mother as a Sign: We gave them both shelter on high ground, affording rest & security & furnished with springs.'

Miracle of Jesus
Summarized in one verse in Quran:
Quran 5:110: The Day when Allah will say, 'O Jesus, Son of Mary, remember My favor upon you and upon your mother when I supported you with the Pure Spirit and you spoke to the people in the cradle and in maturity; and remember when I taught you writing and wisdom and the Torah and the Gospel; and when you designed from clay what was like the form of a bird with My permission, then you breathed into it, and it became a bird with My permission; and you healed the blind and the leper with My permission; and when you brought forth the dead with My permission; and when I restrained the Children of Israel from killing you when you came to them with clear proofs and those who disbelieved among them said, 'This is not but obvious magic'.
John 5:30: 'I can do nothing on my own initiative. As I hear, I judge; and my judgment is just, because I do not seek my own will, but the will of Him who sent me'.

Jesus as a Prophet
He was chosen by the Supreme God, whose job was like a mediator between God and humanity like all other prophets
Quran 19:34: 'That is Jesus, son of Mary-the word of truth about which they are in dispute'.
Quran 19:30 'He Eesa/Jesus) said: Verily! I am a slave of Allah, He has given me the Scripture and made me a Prophet;'
Matthew 21:11: '... crowd said, 'this is the Prophet Jesus of Nazareth of Galilee.'
John 9:17: 'And he said, 'He is a Prophet.''

Mission of Jesus
Abraham is a role model like Moses and Muhammad, Jesus was given a mission to spread the faith of Abraham i.e., Unity of God (Absolute Monotheism) of Abraham (i.e., Belief in one God, All Obedience and Worship of the same One God).
Quran 42:13: 'He has ordained for you of religion (Islam) what He enjoined upon Noah & that which We have revealed to you, O Muhammad, & what We enjoined upon Abraham & Moses & Jesus - to establish the religion & not be divided therein (sects)...'
John 13:15: 'I've given you an example that you should follow... '
John 8:39: Jesus said 'for if you are the children of Abraham, you would follow his example.'
Quran 3-49 ' I will make him (Jesus) a Messenger to the Children of Israel'
Mathew 15:24: 'I was sent only to help God's lost sheep--the people of Israel.'
Romans 15:8:  'Remember that Christ came as a servant to the Jews to show that God is true to the promises he made to their ancestors'.

Jesus is a Muslim! The words Muslim, Islam and Salam come from Pro-Semitic root SLM means Peace (Purity, Submission, and obedience to One God). Muslims are those who submit in total to the Will of One God.
Quran 31:22: 'Those who Submit completely to God (Allah)' (Islam)
James 4:7:  'Submit yourselves therefore to God'.
Romans 13:1:  'Let every soul be Submit unto the higher powers. For there is no power but of GOD... '
Quran 3:52:  'When Jesus found unbelief on their part He said' Who will be my helpers to (the work of) Allah? Said the disciples 'we are Allah's helpers: we believe in Allah, anf do bear witness that we are Muslims'

God of Jesus (Unity of God) 
Quran 5: 72: 'while the Jesus has said, 'O Children of Israel-worship God, my Lord & your Lord'. (Quran in 6AD)
Mark12: 29:  'The most important commandment is this: Hear, O Israel; the Lord our God is one Lord.'
Quran (111:1 & 4): 'Say: He is God the One and Only; And there is none like unto Him.
Mark 12:32:  'Well said, teacher,' the man replied. 'You are right in saying that God is one & there is no other but him.

Jesus and Prophet Muhammad
Quran7: 157: 'Those who follow the messenger, the unlettered Prophet, whom they find mentioned in their own (scriptures) in the law (Torah) and the Gospel (Injeel);-
Quran 61:6:  'And remember. Jesus, the son of Mary. Said: O Children of Israel! I am the messenger of Allah (Sent) to you, confirming the Law (Torah) before me, and giving glad tidings of a messenger to come after me, whose name is AHMAD (Praiseworthy) ... 
John 16:13: When the Spirit of truth comes, he will guide you into all the truth, for he will not speak on his own authority, but whatever he hears he will speak, and he will declare to you the things that are to come. 'He will glorify Me, for He will take of Mine and will disclose it to you.
Hadith: I am most close to Jesus, son of Mary, among the whole of mankind in this worldly life and the next life. They said: Allah's Messenger how is it? Thereupon he said: Prophets are brothers in faith, having different mothers. Their religion is, however, one and there is no Apostle between us (between I and Jesus). (SM-Book 030, # 5836 Abu Huraira).

Jesus / Mary Worshiped
Quran 22:27:  'O you who believe! Bow down & prostrate yourselves & worship your God...'
Quran 3:43: 'O Maryam, (Mary) be devout to your Lord, & prostrate yourself & bow down with the ones who bow down (for Him).
Mathew 26:39: 'He (Jesus) advanced a little & fell on his face (prostration) and prayed, saying, 'O my Father'
Quran 5: 72: 'while the Jesus has said, 'O Children of Israel-worship God, my Lord & your Lord'.

Gospel of Jesus
Quran 5:46: 'We sent him the Gospel, therein was guidance and light and confirmation of the Torah that had come before him. A guidance and an admonition to those who fear Allah.'
John 1:17: 'For the law (Torah) was given through Moses; grace and truth (Injeel/Gospel) came through Jesus Christ (Gospel)

Quran 3:50: (Jesus said) 'To attest the law which was before me & to make lawful to you part of what was forbidden you; I have come to you with a sign from your Lord, so fear God & obey me.'
Matthew 5:17-18: 'Do not think that I have come to abolish the Law (Torah) or the Prophets; I have not come to abolish them but to fulfill them. I tell you the truth, until heaven and earth disappear, not even the smallest detail of God's law will disappear until its purpose is achieved.
Mark7:7: They worship me in vain; their teachings are merely human rules.

God of Jesus PraiseWorthy
Quran 42:28: 'And He (God)...  worthy of all Praise. 
John 5:41: 'I do not accept praise from men, Jesus shouted to the crowds'
Matthew 11:25 (Luke 10:21): ... Jesus said, 'I Praise you, father, Lord of heaven and Earth... '
John 8:50: 'And I seek not mine own Praise/Glory, There is One that seeketh and Judgeth 

Judgment Day
Quran 44:40: 'Verily, the Day of Judgment is the time appointed for all of them. '
Mathew 12:36: '... I tell you that everyone will have to give account on the Day of Judgment... '
Quran 5:50: '...  And who is better in judgment than Allah for a people who have firm Faith. 
Matthew 7:1-2: 'Do not judge, or you too will be judged. 2 For in the same way you judge others, you will be judged, and with the measure you use, it will be measured to you. 

Last Hour
Quran 7: 187: 'They ask you, O Muhammad, about the Hour...  They ask you as if you are familiar with it. Say, 'Its knowledge is only with Allah, but most of the people do not know.'
Mathew 24:36: 'But about that day or hour no one knows, not even the angels in heaven, nor the Son, but only the Father. ' (Mark13:32)

Destiny/Fate
Quran 46:9: 'Say: O prophet 'I am nothing new among the Prophets. I have no idea what will be done with me or you.'
Matthew 7: 21: 'Not everyone who says to me, 'Lord, Lord,' shall enter the kingdom of heaven, but he who does the will of my Father in heaven.
Mathew 25:46: 'These people will go away into eternal punishment (Hell), but those with God's approval will go into eternal life (Heaven).'

Prophet Jesus and Muhammad (Similarities)
Prophet Jesus and Muhammad were descendants of Abraham and are Semites. The both talked about each other (recorded in Bible and Ahadith of Prophet Muhammad) and reinforced the Absolute Monotheism (True Faith of Abraham i.e., Unity of God (Absolute Monotheism) of Abraham (i.e., Belief in one God, All Obedience and Worship of the same One God).).

Obey
Quran 3:31: Say: 'If ye do love Allah, obey me: Allah will love you & forgive you your sins: For Allah is Oft-Forgiving, Most Merciful.
John 14:23: Jesus replied, 'If anyone loves me, he will obey my teaching. My Father will love him.'

Big Sin:
Quran 4:116 Verily! Allah forgives not (the sin of) setting up partners in worship with Him, but He forgives whom he pleases sins other than that, and whoever sets up partners in worship with Allah, has indeed strayed far away. (Major Sin-Shirk/Eternal Sin)
John 16:8 'And when he comes, he will correct the world concerning sin and concerning righteousness and concerning judgment;'

No Change
Quran 53:3-4 'He (Muhammad) doesn't speak from his desire; indeed what he says is from revelation'
John 12:49: 'For I did not speak of my own accord, but the Father who sent me commanded me what to say and how to say it'.

Parents/Neighbors
Quran 4: 36: '... do good-to parents, kinsfolk, orphans, those in need, neighbors who are near & distant, the Companion by your side, the way-farer (ye meet)... '
Matthew 15:4: For God said, 'Honor your father and mother' and 'anyone who curses his father or mother must be put to death. 
Matthew 5: 43: 'Love thy neighbor as thyself'

Veils
Q 24:31 'And say to the believing women that they cast down their looks, and let them wear their head-coverings over their bosoms, and not display their ornaments
1-Corinthians11:6 'For if a woman does not cover her head, let her also have her hair cut off; but if it is disgraceful for a woman to have her hair cut off or her head shaved, let her cover her head.'

Jihad
Quran 29:69: 'As for those who strive (Jihad) in Us, We surely guide them to Our paths, and lo ! Allah is with the good'.
Romans 2:7: 'eternal life to those who strive (Jihad) for glory, honor, and immortality by patiently doing good';

Baptism/Purification
Quran 2:138: (Our religion is) the Baptism of Allah: And who can baptize better than Allah? And it is He Whom we worship.
Quran 5:6: 'O you who believe! When you prepare for prayers, wash your face, and your hands (to elbows); wipe your head part and wash your feet (to ankles) (with Water). If you are in state of ceremonial impurity, bathe your whole body (with water)... '
Matthew 3:11: 'I baptize you with water for repentance. But after me will come one who is more powerful than I, whose sandals I am not fit to carry. He will baptize you... '

Father
Quran 33:40 Muhammad (s) is not the father of any man among you, but he is the Messenger of Allah & the last (seal) of the Prophets.'
Matthew 23:9: 'Do not call anyone on earth your father; for One is your Father, He who is in heaven'.

Quran14:35: 'Recall that Abraham said, 'My God...  Protect me & my children from worshiping idols.'
1 Corinthians12:2: 'You know that when you were still pagans, you were led astray and swept along in worshiping speechless idols.'

Jesus's Ascension (Miraculous)
Quran 2:156: 'Surely we belong to God and to Him shall we return'.
Quran 4:158: 'But God lifted him (Jesus) up (with his body & soul) unto Himself (& he is in the heavens)... . 
John 12:32: And when I am lifted up from the earth.'
John 20:17: Jesus said, Go instead to my brothers and tell them, 'I am returning to my Father and your Father, to my God and your God.'

Jesus's Second Coming
Qur'an 43.61: 'And (Jesus) shall be a Sign (for the coming of) the Hour (of Judgment: therefore have no doubt about the (Hour), but follow ye Me: this is a Straight Way.
Mathew 24:44: For this reason you also must be ready; for the Son of Man is coming at an hour when you do not think He will'
Hadith: At this very time Allah would send Christ, son of Mary, and he will descend at the white minaret in the eastern side of Damascus wearing two garments lightly dyed with saffron and placing his hands on the wings of two Angels. When he would lower his head, there would fall beads of perspiration from his head, and when he would raise it up, beads like pearls would scatter from it. (Sahih Muslim-041 #7015)

Death of Prophets (and all Mankind)
Quran 39:30 'Indeed, you are to die, and indeed, they are to die'
Quran 29:57 'Every soul will taste death; then to us will you be returned'
Quran 19:15 'And Peace be upon him the day he was born the day that he dies and the day that he is raised alive!' (Jesus)
Hadith: After his descent on earth, Eesa/Jesus will marry. He will have children, and he will remain on earth 19 years after marriage. He will pass away and Muslims will perform his Funeral (Janaza) and bury him next to Prophet Muhammad (s). (Tirmidi)