When Aladdin and Jasmine make up in the palace garden (during Iago's song "Forget About Love"), Aladdin is wearing his "Ali Ababwa" prince clothes. When the we return to them after a scene with Jafar and Abis Mal, Aladdin and Jasmine are still in the palace garden, but Aladdin is suddenly wearing his "streetrat" clothes.
When Aladdin gives jewel rose to Jasmine, Jasmine puts rose on dressing table and tells Aladdin that sultan is going to make a royal announcement, the rose keeps appearing and disappearing in background.
During the dinner with the Sultan, the Genie cuts off his hand and it starts to tap dance. When it stops dancing, the Sultan's eyebrows are gone. Then when the Sultan starts laughing, his eyebrows return.
When Aladdin, Jasmine, and Genie are singing "Quite Like a Friend", at the end we see Aladdin on Genie's right side and Jasmine on the left, but in the shot that immediately follows, it appears that Jasmine and Aladdin have switched places.
The real flower in the vase reappears after Abu takes it, then both flowers disappear a few shots later before Abu takes the other flower.
During the song 'Nothing In The World', Genie tells Aladdin and Jasmine about his travels around the world. He mentions being at the pyramids at Giza in Egypt, but then in the same part the three are shown at the Temple of Ramesses II at Abu Simbel with the pyramids in the background, even though Giza is in the north of Egypt, while Abu Simbel is almost as far south as it's possible to go in Egypt. However, what we see is clearly not an actual location, but Genie's "virtual reality" where anything is possible. After all, the statues at Abu Simbel have Aladdin's and Jasmine's faces, indicating that it's all not exactly real.
The whites around Iago's eyes disappear for a few frames during his conversation with the Genie just before the "Forget About Love" song.
When Aladdin is washed down the river, he attempts to grab onto a rock, misses it and gets washed away. However, he emerges from the water to climb onto the rock in the same shot. Given the river's strong current, he should not have been able to reach the rock after missing it.
During the dinner scene when the Genie is rejoining his hand (after accidentally chopping it off), the Sultan's eyebrows disappear for a few moments.
When Iago says that Aladdin is his ticket back into power his mouth doesn't move.
When Iago says, "Tricky is good. Tricky I can do", his mouth keeps moving (as if speaking) for over a second after he stops speaking, suggesting that another, longer line was originally intended to be spoken at that point.