Continuity mistake: After the brawl between the villagers and the objects, a lot of mess is on the floor. Then when the objects jump for joy, the mess is gone.
Continuity mistake: When Maurice gets his woodcutter working in the cellar, the axe starts cutting a log which is in a wooden bench, which sits in front of the woodcutter. However when Belle entered the cellar earlier, through the clouds of dust, the area in front of the woodcutter was empty. (00:08:45 - 00:10:05)
Continuity mistake: When Gaston is cleaning his teeth in front of the mirror, the decorations on the mirror's frame change between shots.
Continuity mistake: When Maurices invention explodes, Belle runs to the house and into the cellar. As she enters, you can see the area in front and around the stove/fireplace is empty. However after talking for a while, Belle says "...oh Papa, he's not for me" and sits down on a wooden stool which has suddenly appeared in front of the stove/fireplace. (00:08:45 - 00:09:45)
Continuity mistake: When Gaston falls out of Belle's house when she opens the door suddenly, Gaston lands in the pig pen. He gets up, grabs his friend, throws him in the mud, then walks away. In the background you see Belle's house. How could he fall down the stairs and what looks like over 20 feet away into the pig pen? (00:18:00)
Continuity mistake: In the dance scene, Chip is sent off to bed but comes back to watch. You can clearly see Chip's reflection in the floor, but he has no mouth. (01:02:25)
Continuity mistake: When Maurice looks into the castle after arriving, there are no yellow edges around the red carpet. Yet moments later, they appear.
Continuity mistake: Just before the new "Human Again" song, Cogsworth is telling the other servants what to do. He is standing on the dog/footstool and tells everyone to clean up the castle. All the servants run off including the dog/footstool and Cogsworth falls down the stairs. A load of cogs fall out of him and Lumiere picks one up. It is quite small but as he dusts it off it grows and when he hands it to Cogsworth and it has grown in size again to over double the size it was when it first fell out of him.
Continuity mistake: In the Gaston song sequence, the villagers pick up the chair Gaston is in, and carry it in front of the bear rug. Then suddenly, Lefou is standing on the bear rug, and the chair crashes down on him.
Continuity mistake: When Mrs. Potts, Chip and the milk and sugar pot enter Belle's bedroom, they make some tea in Chip, who then hops over to Belle. After they pour and make the tea in Chip, as he hops off, in a closeup you can see the milk pot is standing beside Mrs. Potts and the sugar pot is next to the milk pot. Then when it cuts to a wider view, the milk and sugar pot have swapped places with each other. (00:30:30)
Continuity mistake: The large front doors to the castle open inwards, as seen when Maurice and Belle enter the castle for their first time. However when Belle makes her deal with the Beast, to stay with him forever, the Beast takes Maurice outside, however he opens the doors outwards. (00:13:05 - 00:23:05)