Continuity mistake: When the Beast shows Belle to her room, in a wideshot you can see the oval centrepiece of the foot of the bed has a large purple rose painted on it and it has a plain red border. In a later scene after Mrs. Potts and Chip leave Belle's room, the purple rose and red border have vanished from the centrepiece, which is now only decorated with evenly spaced gold dots.
Continuity mistake: When Gaston is telling Belle all she has to do is marry him, and her father will be let go from the asylum, his hands are bare. Then when Belle gets the magic mirror and cries "Show me the Beast!", Gaston has yellow gloves on. Then in the next shot they're gone again.
Continuity mistake: In the scene where Belle first comes to the gate castle to find her father's hat, she pushes the left side of the gate that's already partly open. But when her father came, he opened the right side of the gate and slammed it shut. How did the left side of the gate open?
Continuity mistake: During the fight scene at the end, knives are thrown at the villagers. Nobody is hit, but three knives get stuck in the left kitchen door. The villagers open both kitchen doors and, from the inside of the kitchen door, there are only two knives, each stuck in the right kitchen door.
Continuity mistake: In the scene where Maurice's Rube Goldberg-ish woodcutting invention works for the first time, we see the piece of wood fly over onto the stack. There is no window there or anything made of glass for that matter, yet in the next shot we hear glass breaking from the wood flying over there.
Continuity mistake: At the end of the Provincial Life song, Gaston is singing from among the crowd and he doesn't have his gun. He climbs up the side of the building without his gun, but when he pops out of the window onto the roof he has his gun. When he pops in front of Belle on the street, the gun is gone again.