The Christmas passages, and the whole rest of the Bible, tell us that Jesus came to the earth so that he could meet us and have an eternal relationship with us. For example, the book of Matthew is jam-packed with this concept of Jesus coming to meet us:
2:6 But you, Bethlehem, in the land of Judah, are by no means least among the rulers of Judah; for out of you will come a ruler who will be the shepherd of my people Israel.
3:11, 13 John the Baptist had this to say about Jesus: "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 with the Holy Spirit and with fire"… (Matthew then lets us know in verse 13 that) Then Jesus came…
5:17 Jesus has this to say about himself: "Do not think that I have come to abolish the Law or the Prophets; I have not come to abolish them but to fulfill them."
9:13 Jesus says: I have not come to call the righteous, but sinners.
20:28 Jesus sums it up for us. He says: The Son of Man did not come to be served, but to serve, and to give his life as a ransom for many.
Christmas is about Jesus coming to meet us- so that we could have a relationship with him.