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 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.
Iago is a red macaw, native of the Americas. It is quite difficult for that bird to have migrated to the Middle East during the Middle Ages.
Within the opening scene we see a large ship and 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.
When we first meet Jasmine's servant 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 hairstyle changes throughout. As a street rat his hair is mid length but when he becomes a prince its shorter. After the spell his hair is still short when it should be mid length.