The Killers with Don’t Shoot Me Santa. I actually think this is a better song than most Xmas tunes you hear on the radio.
I never hear “Red Christmas” any more; I can’t even find it on YouTube. 
It was on Dr. Demento at Christmas 1986, the same time as “Christmas at Ground Zero”:
Red Christmas, the bombs are on their way!
HEY!
Red Christmas, this must be the Russian way!
HEY!
I was just in the Wikipedia article about “Schnitzelbank” and discovered “Yah Das Ist Ein Christmas Tree”, a Christmas-themed parody by Mel Blanc.
Thanks! That was a fine bit of crack.
Craic. Whatever. You know what I mean.
Pretty much anything cut from Duke Tumatoe’s Christmas album.
Paul McCartney’s “We All Stand Together” evidently is a Christmas song in the UK
It’s a cover shrug
Maybe it’s just that video but Bobby Earl seems rather lifeless there. Like he’d rather be anywhere else.
That was awesome, thank you!
Very old calypso song that I’ve always found delightfully infectious - Christmas Morning The Rum Had Me Yawning by Lord Beginner
Wow, I opened this thread sure that there’d be a few copyright violations in here I’d have to moderate. Good job, everyone, and keep it up!
What about Spinal Tap’s Christmas with the Devil?
I discovered it last year, and have listened approximately 5,000 times since then. It’s gone right to the top of my Christmas song list.
My strangest favorite is Walkin’ Round in Women’s Underwear.
I want to hang my balls on your Christmas tree.
https://rec.music.rock-pop-r-b.1950s.narkive.com/dSCHtJ1N/i-laughed-my-ass-off-at-this-one
From the 1930’s.
Sorry about the link to a link.