Other Christmas novelty songs? There have been a bunch, obviously! Here's a version of "The 12 Days of Christmas" by Allan Sherman:
And then there's this new one, which I just heard for the first time the other day. It's not my favorite thing, but as novelty songs go, it's kinda cute and I can't hate anything that Kristen Bell is involved with. Here she is, joining Straight No Chaser with "Text Me Merry Christmas".