Another one I first heard played as part of the Christmas music rotation at work. I’m pretty sure if you look up the word “melancholy” and cross-reference it with “Christmas” this is the only hit you’d get.
“Winter Song” / Ingrid Michaelson and Sara Bareilles (2008)
the sloppy copy 
I really like this song. Didn’t know it was considered a Christmas song tho.
Agreed; I think because it’s “Winter Song” it sort of gets lumped in with the rest. It does sort of change the mood when it starts to play after, say, Holly Jolly Christmas.