It was already on the list so you have another one.
Yep, noticed it myself, see my edit.
That video reminds me of a couple of parties I went to in college.
OK got your 3rd one on.
How about “It’s Christmas Time Pretty Baby” by either Elvis or the Honeydrippers?
I see only one version and it is by Jesper Bjarnesen
Yeah, I just checked. Strange. Elvis’ version was pretty popular back in the day. I saw The Honeydrippers play it on SNL, but I guess they never recorded it.
I’ve got two more by Jonathan Coulton:
Podsafe Christmas Song
Christmas is Interesting
ETA: since we’re allowed three at a time I’ll nominate
Blue Xmas Miles Davis and Bob Dorough
Up to 5 hours now. We rock!
We do. I sent a link to a friend and she asked how Rio is a Christmas song. I had no answer for her, but if you do, I’d be grateful.
Payoff is at 2:20. Careful! A few NSFW words.
Okay, that makes perfect sense, now.
(Is that Robert Goulet on the piano?)
Charlotte Church - Mary’s Boy Child
Johnny Mathis - What Child is This?
Sammy Davis Jr. - Sweet Gingerbread Man
I actually have some Christmas music this year! 
I have an orchestral version of “Carol of the Bells”, and “I Saw Three Ships” releasing on Nov 30th. And, a new version of “Auld Land Syne” (I rewrote some of the lyrics to emphasize friendship) on Dec 28th!
They will be under “Jason Bernard”.
Favorites from our home:
“Christmas is the Time to Say, ‘I Love You.’” - Billy Squier
“Merry Christmas Everyone” - Shakin’ Stevens
“We Need a Little Christmas” - Johnny Mathis
Honorable Mention:
“God Rest Ye Merry Gentlemen/We Three Kings” - Barenaked Ladies and Sarah McLachlan. McLachlan’s voice when she sings, “Hallelujah, Hallelujah! Worship him, God most high!” makes me wish I believed.
There is a version with her and Jester Hairston. Is that it?
No carols. Sorry.
I’d have to add something from Lorenna McKennnitt’s Midwinter’s Night Dream album.
Awww. 
Snow in particular or another one?
A couple more sure!
Greensleeves
The Lady of Shallot