http://blog.stocksohio.com/2008/12/23/the-real-christmas-story/
This article includes a compilation of the complete Christmas story from various books of the Bible. It is the Christmas story we read every year at my house and looks beyond just the gospels to capture the full essence of Christmas.

Genesis 1:1, Numbers 24:17, Psalm 72:11, Psalm 96:1-13, Psalm 98:1-3, Isaiah 7:14, Isaiah 8:14, Isaiah 9:2, Isaiah 9:6-7, Isaiah 52:10, Jeremiah 23:5, Jeremiah 33:14-16, Micah 5:2-5, Zephaniah 3:14-17, Matthew 1:19-25, Matthew 2:1-23, Luke 1:18, Luke 1:26-45, Luke 1:56, Luke 2:1-21, Luke 2:39-40, John 1:14, John 3:16-17, Romans 5:12, Romans 6:23, Romans 10:8-13, 2 Corinthians 8:9, Galatians 4:4-6, Philippians 2:5-11, Jude 1:24-25 and Revelation 19:16