When Dalia helps Jasmine take off her jewelry, Dalia is seen taking off Jasmine's necklace and Jasmine still has her earrings on. As soon as Jasmine turns around to face Dalia, her earrings are missing.
In "A Whole New World" the long shots looking down at Aladdin from a distance show him holding the Magic Carpet's tassels to steer, but in the closeups his hands are at his sides or on the carpet in front of him, with the tassels blowing in the wind.
When Jafar convinces the Sultan to invade a neighboring country in front of Jasmine, a warrior armor is displayed. However, seconds after she leaves his study room, it disappears.
When Prince Ali's entourage sings the first line of "Make way for Prince Ali!" the green turban marchers suddenly have no flag staffs, and are marching with their arms swinging, then in the next scene are carrying their staffs again.
Aladdin's hairstyle changes throughout. As a street rat his hair is mid-length but when he becomes a prince it's shorter. After the spell, his hair is still short when it should have returned to mid-length.
During the opening scene we see a large ship, then a smaller boat. One of the children on the smaller boat mentions the large ship after it has passed them, meaning they would not have seen it approaching or passing, even though it casts a shadow over them.
The Cave of Wonders warns, "Only one may enter!" The fact that Abu also enters the cave with Aladdin somehow doesn't violate this rule at all. So, it shouldn't matter that Abu touches any of the treasures within, since his presence doesn't even count to begin with. Instead, it is an integral part of the story.
When we first meet Jasmine's handmaiden Dalia, the out of focus distant mountains and sea beyond the balcony are slowly panning right to left, however, the foreground is a still shot and there is no scanning or "camera" movement.
Aladdin's first wish, he wishes to become a prince. However, the genie only makes Aladdin look like a prince. Aladdin never actually becomes a prince.
Both Jasmine and Jafar have bound books in their libraries. A Muslim kingdom of that time would have scrolls, as binding was reserved for holy scriptures, such as the Koran. Book binding wasn't common in the Middle East until after the XIII century.
In the opening scene, the sun is behind the small boat. When the scene changes to view the large boat, the sun is now on the opposite side.
Iago is a red macaw, native to Central America. It is quite difficult for that bird to have migrated to the Middle East during the Middle Ages.
The dress Jasmine wears when she first meets Prince Anders would not be worn in the Middle East, but in countries in southern Asia such as India and Pakistan. Likewise, the Genie's appearance looks like a god in Hindu.
Immediately following the "A Whole New World" sequence, once Jasmine figures out that she's met Aladdin before, Aladdin says "You saw us arrive with dancers, an elephant, and a magic carpet..." However, Jasmine did not know about the magic carpet until Aladdin came to her room that night. She could not have seen it earlier.
Aladdin was scolded by Jasmine for lying about being a prince. Jasmine had no room to talk as she lied to Aladdin that she was someone she was not, namely Dalia her handmaiden.
Aladdin doesn't realize, even though he is a thief, that the bracelet isn't that of a princess/royalty. Instead he believes she is a hand maiden.
When Aladdin breaks into the palace and then is captured, Abu, his monkey is not with him. When Aladdin is at the Cave of Wonders, to get the lamp for Jafar, all of a sudden Abu is with Aladdin.