Continuity: At the court, Bender is shot in the back by the Professor leaving multiple holes but later when he is talking to the little girl all the holes have gone.

Continuity: When Bender and Santa are destroying New New York, we see an outside shot of Planet Express with the Professor's titanium shutters covering the entire building. But when we see everyone huddling on the couch, you can see out all the windows.

Continuity: When Fry and Leela dig out Santa there are cracks in the ice around him which disappear when they lift him up.

Continuity: The elves' hats fix themselves in the shot looking from behind the sack towards Robot Santa, then become ripped again as they run off.