Continuity mistake: When Davey Stone is running away from the police while singing, after he says, "But I'll give this old lady's melon's a squeeze.", he swings around a street pole. The garbage can lid he is riding on has no handle, but when he slides down the hill and jumps over the front of a snow plow, the lid has a handle.
Continuity mistake: When Davey Stone is running away from the police while singing, at the end of the song just before he crashes into the ice sculptures, you can see ice skaters and their trails on the ice. Yet when Davey crashes into the sculpture and they fall, the skaters and their trails are instantly gone. Even if the skaters tried to run away their trails would still be there.
Continuity mistake: At the beginning, when Davey is singing and running from the cops, when he sings, "And when your singing your holiday tune, I'm acting like the town buffoon," he is at the top of a mountain behind some carolers, yet in the next shot he is suddenly in front of the carolers.