Continuity mistake: When the enchanted broom dumps its barrels into the fountain for the first time, the water level of the fountain decreases between shots.
Continuity mistake: At the start of the Sorcerer's Apprentice scene, the moon on the wizard's hat goes from being next to the star on the left of it, to over it.
Continuity mistake: When the male and female centaurs are walking together the bush beside them moves with them for about a second.
Continuity mistake: When the pterodactyls are shown looking over the edge of the cliff, between shots more of them appear out of nowhere.
Continuity mistake: When Mickey chops the broom to pieces, he places the axe next to it on the ground. Then in the next shot of the splinters, the axe is gone.
Continuity mistake: When Mickey sits down in his chair and puts his feet on the table, the table moves closer to the chair and his feet go from the far side of the table to the middle, all between shots.
Continuity mistake: When the Stegosaurus and the T-Rex lean into each other, between shots they move further apart.
Continuity mistake: The wizard places his hat with the crescent moon facing the front of the table. Then when Mickey grabs it, it faces the back of the table.
Continuity mistake: In the Sorcerer's Apprentice piece, Mickey starts waving his hands and fingers at a broom to make it come to life. In one shot, you can see that his sleeves slide forward and cover his hands. In the next shot, the shadow of his hands on the wall shows that his sleeves are on his wrists again and his fingers are waving fine. There was no time between shots for this to have happened.