Continuity mistake: At the very end of the movie, when they all ride off through a tunnel, you can see all sorts of tassels hanging off each of the horses. When they reach the end of the tunnel and are riding off into the sun, there are no tassels at all apparent.
Continuity mistake: In the library before he goes through the hole in the floor, Indiana takes the map out of the diary and gives the diary to Marcus. When Indiana gets caught trying to rescue his dad, they take the diary from him and say Marcus has the map.
Suggested correction: You've forgotten the scene at Donovan's apartment. There, Indy could have cut the page and give it to Brody off-screen.
Continuity mistake: The blood on Indy's left ear disappears at the end of the film.
Continuity mistake: When Indy kisses Elsa in her room in Venice, you can see there is nothing on Elsa's left shoulder, but when the camera angle changes in the next shot, Indy now has his hand on her shoulder.
Continuity mistake: Indy slams a pole against the big X on the floor and produces a hole. When the angle changes the shape of the hole is completely different.
Continuity mistake: While in the zeppelin, the German officer extends his baton and lowers Dr. Jones's newspaper, wrinkling it. From the opposite angle, the newspaper is still raised and the officer repeats the previous movements, though this time he doesn't wrinkle the newspaper.
Continuity mistake: Hitler walks surrounded by a huge crowd ahead holding Nazi pennants. When Indy bumps into Hitler, half a second later, the pennants on the left have disappeared.
Continuity mistake: Dr. Jones hugs his son and walks 20 meters away. When he turns around to address him, he is barely 5 meters away.
Continuity mistake: When a jeep gets stuck to the tank's cannon, the type of jeep, its position and the damage done changes between the first and second shot (watch how the smashed windows fix themselves, for example).
Continuity mistake: In front of the main tribune there's a pile of burning books. First the fire is just atop, a frame later the whole pile is burning.
Continuity mistake: When Indy jumps on Kazim's boat, Elsa's boat is inches away from Kazim's, but a shot later she has managed to appear somewhere else with no boats around.
Continuity mistake: When about to walk on air in the temple, Indy says, "No one could jump this". In the close-ups his hands are spread apart, but in the wide angle they are grabbing the diary.
Continuity mistake: The German Nazi suddenly disappears from the tank when it crashes on the ground (as is replaced by an obvious scale model).
Continuity mistake: When Donovan turns into a living corpse the badge on his lapel disappears.
Continuity mistake: When Donovan drinks from the grail his left hand holds the base with extended fingers. A frame later they are bent.
Continuity mistake: When Indiana's dad blows up the truck beside them during the chase, there's a big explosion. However, in the next shot showing Indiana and Ernst Vogel, the same explosion behind them is smaller.
Continuity mistake: When Indy and Kazim are about to jump off from the chopped boat, the boat swaps from sinking to floating between frames.
Continuity mistake: The position of the stone that Indy places to block the cannon changes between shots.
Continuity mistake: Right before the castle is on fire, there is a chair very close to the fireplace. When the place starts to burn, father and son take shelter under the fireplace thanks to the fact that the chair has magically moved several meters away.