That list is pretty bare, and leaves out some good ones. I agree with the Die Hard and Gremlins arguments, both top tier Christmas films. Trading Places also happens around Christmas time. Eyes Wide Shut is technically a Christmas movie by the same standard, and it has its own way of being appealing.
My wife's family really likes White Christmas with Bing Crosby and Danny Kaye. Holiday Inn too, which includes Fred Astaire. They are corny classics, but deserve a mention.
The old 1950s Rudolph and Frosty movies were always classic to me.
Miracle on 34th Street is still a classic.
Muppets Christmas Carol is awesome.
Charlie Brown Christmas sucks, just like everything else Charlie Brown related. Those kids were straight up assholes to each other in every show.
As a kid, I really liked the Ernest P Worrell movies, and I think I was the only one in my house who liked Ernest Saves Christmas. Haven't watched it in about 30 years and I'm sure it's awful, but I don't want to burst that bubble.