Continuity mistake: On the bridge scene Indy's sword changes. Initially, he has a sword with a straight blade and no hilt; however, when he shouts at Mola Rom, he has a something like a cutlass curved blade and heavy handguard to a machete-like weapon he uses to cut the bridge. (01:38:05 - 01:38:55)
Continuity mistake: The jet of water comes out through a squared hole on the rocks, and seconds later comes through many other places, making the first hole much bigger, and making pieces of rock fall off. However, when Indy cries, "Let's meet up at the bridge!" there's an aerial shot of him climbing and the mountain has the very same perfect structure as before the jet of water burst.
Continuity mistake: When Indy fights the two guards before the bridge scene, the sequence is all off. He knocks one to the ground, who lands still clutching his sword. The other one has his sword whipped away from him - it flies over the cliff, and he runs off, whimpering. We then see the other guard approach, and suddenly Indy's standing over an unconscious guard by the boulder and clutching a sword, both of which have appeared from nowhere. (01:37:25)
Continuity mistake: When the fuel runs out, the engines die and propellers stop. They are stopped as it grazes the mountain peak. In the next two outside shots as they exit the plane, you can see the propellers are again at full speed and can hear the engines. (00:16:55)
Continuity mistake: On the mine conveyor, the guard pins Indy to the belt with his foot and his head toward the grinder. When Short Round tackles the Maharajah, we can see the guard on the conveyor, but he's facing the wrong way, both his feet are on the belt, and Indy is nowhere in sight. (01:31:30)
Continuity mistake: During the mine cart scene, Indy hits the second lever with the shovel to change the course. The Thuggees in the cart behind him shoot the same lever and it flies back just as Indy hits it, and changes the course again.
Continuity mistake: While Indy and the Thuggee Chief Guard are battling it out, after the shot of the Maharaja gleefully stabbing the Indy doll, in Willie's next closeup she's wearing the veil as she throws rocks at the Chief Guard, but in the next wideshot the veil is gone, but it's back on her head in following shots.
Continuity mistake: After Indy's fight with the Chief Guard on the conveyor belt, when Indy attempts to save him from the rock crusher Indy ends up hoisting himself up in mid-air, and when he reaches the platform Indy's shoes are completely flat, unlike Indy's ankle boots which have heels.