Emmett Otter is a more recent addition from my wife, but the other three have been staples forever.
Also, Little Drummer Boy. Non-stop motion, Christmas Story is a mainstay. It was filmed in the town where my late grandpa grew up, so it was always fun to hear him talk about the places.
Beyond that, not as much tradition but still frequent: Charlie Brown Christmas, Frosty the Snowman, Santa Clause, and some variety of "Christmas Carol" (usually Mickey or Muppets, but not always).
My family always went hard into the Christmas movies.
