Continuity mistake: When Indy is shot, he falls with the strap of his satchel running down the side of his body. A shot later, he lies with the strap running across his chest. Then, a shot later, the strap is nowhere to be seen.
Continuity mistake: When Indy is hanged, the bomb falls downwards slowly. Check the writing on it, and you'll notice that a shot later, the bomb has moved upwards and is repeating the previous movement.
Continuity mistake: When Indy is hanged, the bomb is stuck parallel to the ground. A shot later, it's perpendicular to the ground.
Continuity mistake: While on top of the train, Basil waves one arm, pleading for the train to stop. The shot changes, and he's waving both arms.
Continuity mistake: At the farewell celebration for Indy's retirement, the dean calls for the gift to be presented to him, mentioning it is "a token of our gratitude." There's a cut in the middle of the sentence, and Prof. Plimpton is waving a young student in with his left hand, then the right hand.
Continuity mistake: While on the boat, Helena does her 7 spades card trick. When she gives Indy a turn, you can see the bottom card is a black 2. When she fans them out, it changes to black king of clubs. Then, in the next shot, it changes to 8 of clubs. (01:16:00 - 01:17:00)
Suggested correction: Not necessarily a mistake. She could be changing those cards by sleight of hand, while moving the 7 of spades into position for the final force. The mistake was not using the 3 of clubs for it.
Continuity mistake: When Teddy is abducted, Indy runs towards the car, past a hat lying on the street. The shot changes, and he is metres behind, running towards the hat again.
Continuity mistake: After Indy melts the wax and reads the dial, he is holding it with his right hand in one shot and with both hands in the immediate angle.
Continuity mistake: When Indy and Helena find the antikythera in Archimedes' tomb, it's covered in dust and no features are visible. When Indy reaches for it, it's just slightly dusty.
Continuity mistake: Indy rides on horseback through a banner held by a women and rips it apart. The shot changes, and the women and the broken banner have all disappeared.
Continuity mistake: Indy closes the cap of the whisky bottle and watches the separation agreement. The shot changes to a close-up, and he is closing the cap again.
Continuity mistake: A woman is shot at at the college and lies down with her right leg bent. A man tries to move her but is killed before he does. The shot changes and her right leg has swapped to lying straight.
Continuity mistake: During the chase in Tangiers, after the stolen watch discussion, Indy's tuk tuk stops next to a street where a man approaches. The shot changes and the street is replaced with a wall and the man is gone.
Continuity mistake: When Indy is abducted during parade day inside the truck, his hairstyle keeps changing all the time.
Continuity mistake: During the parade, a red convertible skids and stops in front of Indy. Shot changes and it's skidding and stopping again.