I think this semi-remake of “Grandma Got Run Over By A Reindeer” takes the cake.
Other contributions in this department?Well, I’d say “Fairytale of New York”, but you’re a long-time Doper, so I would presume you know about it:
I like this one by Twisted Sister
I “discovered” this one on A John Waters Christmas CD (apparently he used it without permission): Santa Claus Is A Black Man
Mention must be made of Santa Claus Meets The Purple People Eater.
And it wouldn’t truly by Christmas, would it, without Deck Us All With Boston Charlie?
And, from the UK, Bo Selecta’s Proper Crimbo.
From Maryland: Crabs For Christmas.
“Where’s My F***ing Bike?” By Kevin Bloody Wilson (Aussie, of course! )
Sorry, I don’t have a link, but I promise, you won’t be disappointed if you find it!l
Dominick the Donkey
I Yust Go Nuts At Christmas Christmas 78's - I Yust Go Nuts At Christmas - Yogi Yorgesson - YouTube
Father Christmas by The Kinks
The Night Santa Went Crazy by Weird Al Yankovic
Christmas at Ground Zero by Weird Al Yankovic
Found it. It’s probably NSFW (for language) so I’m putting it in a spoiler box to obey the two click rule.
One of my favorites.
one of mine as well. Give all the toys…to the little rich boys
Marlene Dietrich performs “Der Trommelmann (The Little Drummer Boy)”: - YouTube
The graphics chosen by that user are…interesting. 
I heard Ella Fitzgerald singing about Christmas on Christmas Island, and Santa bringing presents in a canoe.
WTF? 
Never heard it before today.
John Denver begging “Please Daddy Don’t Get Drunk this Christmas” is right up there on the spectrum of odd.
For no good reason, I’ve had “Grandma Got Run Over by a Reindeer” stuck in my head for several days. That’s bad enough, but then my subconscious starts substituting the lyrics to David Allen Coe’s Perfect Country Western Song. That’s a weird place to be…
Santa Dog by The Residents