These are two of my favorite non-traditional Christmas songs.
"A Baby Changes Everything" by Faith Hill:
and "It Really Is (A Wonderful Life)" by Mindy Smith:
(I don't really care for either of those videos, but the songs are great.)
And as a bonus, here's Heather's favorite, "For Unto Us" by Point of Grace (a.k.a. "Child is Born Song"):
(Yes, she sings along. "...booooooooooooorn...King of Kings...boooooooorn...").