There are other celebrations and traditions in many different cultures that are non-Christmas as Americans see it.
The Grinch is a Krampus: In places like Germany and Austria there is a harry group of creatures known as Krampus which run rampant on December 5th looking for naughty kids. His behavior and actions very much are akin to the Grinch.
Italy has a Witchy Mrs. Claus: Belafana is a witch who hands out presents to children in Italy.
The 12 Gnomes of Christmas: In Nordic countries their are twelve Gnomes known as the Yule Lads who have very odd behaviors for each of the twelve days. One slams doors, one licks bowls, and one likes to eat candle wax.
Santa the Necromancer: St. Nicholas is the saint of chidden because he saved three boys from getting pickled thus why in some parts of Germany anyone who finds a pickle in the Christmas tree has good luck.
Buddy the Elf is Austrian: In Austria Santa has a human helper named Kind Rupert who like Buddy was a orphaned human boy until Santa found him.