Audio problem: During the fight scene at the end, Gaston says, "It's over, Beast. Belle is mine." But, originally, Gaston said "time to die" instead of "Belle is mine." (They wanted to involve Belle more in this scene, and decided to simply overdub the line). Unfortunately, you can tell what's been done, for Gaston's lips still say "time to die."
Audio problem: In the first shot of Gaston losing his balance, he cries "Woah, ah" or something, but his lips don't move.
Audio problem: When the coathanger plays the violin during the title song, the sounds that are heard don't match him playing it.
Audio problem: When the horse comes galloping into the meadow, Belle cries "Phillipe" but her lips don't match what she's saying.
Audio problem: Maurice's machine starts working and one of the logs hits him with a 'thunk', yet the sound of the log hitting the ground is never heard.