Though Haseem steals Fatima's robes in order to disguise himself as the old medicine woman, the shawl that Haseem wears when he's transformed is not the same one that Fatima was wearing.
Just before Haseem traps Aladdin in the cave, he tosses his sword behind him. In the next cut, it is back in his sash.
Aladdin's neighborhood, and even house structure, changes many times throughout the movie. Being a rounded house, surrounded by other houses, to rounded next to a wall, to being a square house next to other square houses.
As Aladdin walks down the streets searching for a job, he crosses paths with the same exact man twice; or two different men created from the same exact animation cels. The first time, the man practically ignores him and sends him away, the second time he stops to listen to him.
Near the end of the scene where Aladdin's mother presents the jewels to the Sultan, the arm and fan of the left fan-bearer disappear for a frame.