
You never do see a lot of Santa Claus games. I had one in the 80s for my Atari computer called Special Delivery, which had a flying sleigh sequence where you had to catch presents dropped by angels and avoid mountains, trees, lightning, and evil presents dropped by red angels (who were ostensibly devils.) Then you had to deliver the presents without being caught by kids.
The only Santa Claus I remember seeing on the SNES was the one in Secret of Mana.