Continuity mistake: At the end of the movie, when Clark is outside of the house with Eddie's dog, all the police cars have disappeared. (01:34:10 - 01:35:00)
Suggested correction: It's the end of the movie with credits rolling, I would think the people behind the movie wanted it that way with Clark looking proudly of his Christmas night. his last line in the movie, he said "I did it" and the lights went off on the "THE END" sign. So, that's what I think about the ending. It's not a mistake. It would be if the sign wasn't shut off and started rolling credits after he said his line and nothing's there.
Other mistake: Up in the attic when Clark finds the videos, the video he watches is labelled Christmas '59 but while watching it, the sign being held up says "XMAS 1955"
Suggested correction: It may be a 2nd film he watched after the 1959 film. This may not be in real time, just like we only see Clark in the attic for a few min but in reality the family was gone assumingly much longer than we saw on film and Clark was there longer than we see.

Continuity mistake: When Clark is outside hanging the lights, he staples the sleeve of his shirt, under his wrist, to the eaves of the house. In the next shot, as he is pulling, the shirt is stapled over his wrist. (00:21:50)
Suggested correction: The position looks the same if you consider hand movement. Look at the opening of the sleeve and the hand position for comparison. I don't think this is an error.
Stupidity: When Clark was trapped in the attic and fell through the ceiling in the bedroom, why didn't he just crawl out through the hole he just made onto the bunkbed?
Suggested correction: Two reasons. 1) The hole is too small. 2) There isn't enough space between the bed and the ceiling.