Here are a few that I found over the years and that still work:
Merry Christmas Everyone - Wang Chung
Joy To The World - The Blenders and/or Whitney Houston
Christmas Wish - NRBQ
Jingle Bells - James Taylor
Put Up The Lights - The Bird And The Bee
Christmas Was A Friend Of Mine - Fay Lovsky
Ringing The Bells Of Christmas - Larry Carlton/Michelle Pillar
Joy - Wilson Philips
Let’s Go Holiday - Brian & Lux
Sugar And Booze - Ana Gasteyer
I’ll Feel Christmas - Jason Paul Curtis
Christmas Sounds - Saturday’s Children
Christmas Is Coming Soon - Blitzen Trapper
It’s Christmas Day - The Weeklings
Your Holiday Song - The Indigo Girls
I Wish It Could Be Christmas Everyday - Jeffery Foskett
Xmas In Frisco - SomaFM, commercial free alternative