Yes, let's keep it obscure. Industrial christmas carols? Check! Wingbat wellwishes? Check! Songs about caroling but not caroling itself? Check!
I'll start.
Voice Industrie - I Saw Three Ships
I'll start.
Voice Industrie - I Saw Three Ships
Here's a two-fer of holiday songs not done by the Beatles, but about the Beatles.
1965: Garry Ferrier - Ringo Deer
1963: Dora Bryan - All I Want for Christmas is a Beatle
More than 60 years ago, a little Dene boy, alone at a mission hospital far from his home in Fort Resolution, Northwest Territories, heard a Christmas carol that gave him much-needed comfort.
“I wish I could hear that song again just once more. I don't know how long I'm going to be in this world yet, but if I could hear that song again during the holiday, then I'll be happy.”
- Alex Tambour
and of course! This one does not get as much airplay as it deserves - a very catchy tune Stuck in the Smoke Hole of our Tipi!!
https://www.youtube.com/watch?v=YkwlR6EnOps