Not sure if you consider these anti-Christmas, or just alternative-Christmas, but I like to listen to them around this time.

Bob Neuwirth - Lucky Too https://www.youtube.com/watch?v=gps0W3Wzpwg

Brett Dennen - The Holidays Are Here & We're Still At War https://www.youtube.com/watch?v=1Z7UA5Ykoe0

The Pogues - Fairytale Of New York https://www.youtube.com/watch?v=j9jbdgZidu8

Tim Minchin - White Wine In The Sun https://www.youtube.com/watch?v=fCNvZqpa-7Q