Continuity mistake: Glen Holland owns a Chevy Corvair throughout the film. The car at the beginning of the film is a 1961 model 500 (the base model with bench seats), but at the end of the film it is a 1964 Monza (the top of the line model, with bucket seats).
Continuity mistake: In the beginning of the film when it is showing several townsfolk mingling in the snowy streets, a horse drawn carriage with a driver and a woman holding a present goes by a brick house. A few shots later after you see a guy waving, the same carriage with passengers goes by, again in the same direction.