Fairytale Of New York - The Pogues and Kirsty MacColl
Santa Claus Is Coming To Town - Bruce Springsteen
Driving Home For Christmas - Chris Rea
I Wish It Could Be Christmas Every Day - Wizzard
I completely missed this post, any list of good Christmas songs has to include "River," by Joni Mitchell and "Merry Christmas, I don't want to fight," by the Ramones.