Continuity mistake: When the villains are following Indy through the caves, the old wooden bridge completely breaks and falls apart. However, when they make their escape across the same bridge, it's intact with only a couple of wooden slats broken.
Suggested correction: You can see a goon holding it up when they come back.
The picture you put online to prove it does not prove anything at all. It's a really lousy picture that doesn't serve as any sort of proof because it's too hazy and dark in the picture to see the wooden slats.
Factual error: Indy wakes up and has a bottle of Vicodin Es next to him, which was not introduced in the US until 1978, 9 years after the movie is set.
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.
Revealing mistake: When Indy is in the archive room cornered by the thugs, there are a couple of wide shots where it's definitely not Harrison Ford, but a stuntman with a mask resembling his face. The wide shots cut to close-ups of the real Harrison, and one can see the big difference between both. According to the making-of videos, several stunts were played using this technique.
Continuity mistake: When Helena and Indy are cornered in the archive room, Helena—in the background—rushes upstairs. A shot later, she is metres behind, arriving at the steps again and repeating all previous movements.
Continuity mistake: Weber commands a soldier to open the Lance's box. In the shot of the soldier's hands, a ring has appeared on his left hand. This ring disappears again when Weber says "Doctor."
Continuity mistake: In the college archive, Indy opens the cardboard box. In the close-up he opens it again.
Continuity mistake: When the waiter arrives at the room where the Nazis are, all the papers and books on the table, plus the pencils, change positions between shots.
Continuity mistake: When Indy is abducted during parade day inside the truck, his hairstyle keeps changing all the time.
Factual error: All of the police cars in New York City are painted in a blue and white livery, but until 1973, NYPD cars were painted black, white, and green.
Continuity mistake: Indy tries to make a phone call but is abducted by the baddies. There's a close-up of the phone and blood has suddenly appeared all over it.
Revealing mistake: During the tuk tuk chase, skid marks from previous takes are visible on the road. (01:03:13)
Continuity mistake: Indy horseback rides past a truck with a flag, then between a dozen of musicians while chased by a motorbike. When he looks behind him, the band has vanished and the truck is next to him again. This last shot belonged in the first place.
Continuity mistake: Indy stops Basil from hammering the dial and makes the left side of his jacket open to reveal his shirt. Shot changes, and now the opening has swapped sides.
Factual error: The crown on the logo of the Air Maroc plane is the modern 2013 version, not the one from 1969 when the movie is set.
Continuity mistake: Inside the plane, Indy looks at his bleeding wound. Note how shiny and wet it is, as opposed to an instant shot later when it looks dry.
Factual error: When Jones and Shaw rans out of the Hotel back alley in Tanger, there's a modern Scooter moped with 5-spoke plastic wheels.
Continuity mistake: When Voller grabs the Grafikos tablet from the chest, it's covered in sea snot. When he shows it to Indy, most of the snot is gone. Though a couple of drops dripped while taken out of the chest, the missing amount of moss is really big. This happens in a matter of 2 seconds, before Voller rinses the tablet.
Continuity mistake: When Voller grabs the tablet from the chest, he holds its upper left side. A shot later, he is holding its lower left side. When he shows it to Indy, the grip changes again twice.
Continuity mistake: On the boat, when the kid hands Helena the dial, she touches it with her right hand. A shot later, her right hand is away and her left arm is leaning towards the dial.
