Factual error: There's a scene where Belle's father is riding away in the snow on his horse - the tracks left behind by the horse are exactly backwards. The round part of a horseshoe is at the front, not the back. (This was a deliberate 'in joke' done by the animators.)
Suggested correction: It is Belle who rides the horse in the snow, not Maurice. If we're talking about this being a mistake, then it could be a deliberate mistake, but if this was truly done as an in-joke, then I think it falls more under trivia. The tracks being backwards is factually incorrect, but it doesn't really fall under the category of "mistake" if it was deliberately done as a joke.
Factual error: In the "No One's Great as Gaston" song (in the tavern) Gaston uses his blunderbuss to shoot three holes (three separate shots) in a barrel of beer. But a blunderbuss is a single-shot weapon. He would have to shoot, reload, shoot, reload, and shoot. (00:27:40)
Factual error: After Gaston stabs the Beast in the fight sequence, there is no blood shown on the knife. [This is a longstanding Disney animation tradition. The House of Mouse seems to believe that onscreen violence is less traumatic if all evidence of it disappears quickly. Thus, you rarely see blood and when it IS seen it's usually minor, even if the wound isn't minor.] (01:16:15)
