Continuity mistake: When the preacher is in his car talking to Dudley, how far wound up the window is differs.
Continuity mistake: When Dudley sees the swimming fish screensaver on the computer, he goes to touch. Between shots the swimming fish on the screensaver change location instantly.
Continuity mistake: When Dudley the angel falls out of the sky and lands in the snow, we see him in a long shot and snow is all over him. We then cut to a close-up and there's hardly any snow on him. We cut back to a long shot again and again we see snow all over him, then once more to a close-up which shows almost no snow on him.
Continuity mistake: Jeremiah gets "promoted" to the role of shepherd in the nativity play but is still a sheep in some of the shots when the play is presented. Afterward, he's wearing a shepherd's costume.