Continuity mistake: When Carlotta brings the plates for the meal they all have a dome cover with a top handle, but when Sebastian runs across the table those handles have changed. (00:54:50)
Continuity mistake: In the library scene Indy discovers the "X" high up on the balcony. The X is green with a grey background. When he breaks the tile to find the tomb the X has become a faint outline on the floor. (00:27:40 - 00:28:45)
Suggested correction: You still can see one "leg" of the X on the floor, it's only darker than viewed from above because the camera angle and illumination set used.
I think it is meant to be an optical illusion.
The "X" is first shown as a dark green "X" on a beige background. Next, we are shown the same dark green "X" that is barely visible over a green background. I think we are meant to understand that the beige square tiles were lifted away in a cut scene.
I see no reason why they would replace the floor just for the higher shot, it's the same floor throughout the scene. When they enter it's the same floor we see later as they are going into the hole. It's probably not a real marble floor, so they can use a styrofoam or plywood tile that Harrison can lift, one that matches the surrounding tiles. They don't shine as much as the rest of the floor. In the shot up high there is different lighting, so that could explain it. It just appears to be different. Of course, sudden different light can be seen as a revealing mistake.
Suggested correction: Not a mistake, just a different viewing angle.
Continuity mistake: In the bowling alley, 'Pal' comes over to speak to Tia. During their conversation, the camera pans to Maisie throwing a bowling ball; however Tia is now sitting alone. Pal has disappeared. (00:40:10)
Continuity mistake: When the Joker's henchmen are trashing the museum, one guy puts red handprints all over a portrait, later the Joker walks by the same portrait and the handprints are gone. (00:59:55)
Continuity mistake: The batting order in the one-game playoff is Taylor-Dorn-Cerrano (as seen in the 7th), with Hayes batting before Taylor (as seen in the 9th). Cerrano hits the homer with two outs in the 7th, and Hayes is shown batting with nobody on, and two outs in the 9th. If they faced the minimum, Hayes would've been up with only one out (#5 batter gets the third out in the 7th, 6-7-8 batters get out in the 8th, and the #9 batter gets one out before Hayes). There's no way they could've gone through the line-up again without scoring a run. The furthest they could've gotten was the #8 batter (two spots before the leadoff Hayes) coming to bat in the 9th with two outs and nobody on. (01:23:30)
Continuity mistake: When chasing Jamie in the woods, Mikey's headlights go from normal chevy headlights to off-road high beams.
Continuity mistake: Notice Marty's hair in the scene when he's playing "Johnny B. Goode." It's quite larger than when he says, some seconds later, "I guess that you're not ready for it yet." That's because when he says that, it's a recycled shot from the original BTTF, whereas most shots showing he's playing the guitar are newly made for BTTF2. However, Marty's hair is considerably longer in the new shots. (01:27:19)
Continuity mistake: When Spock, wearing rocket boots, is in the turboshaft carrying Kirk and McCoy on either arm, he fires the booster rockets, thus propelling the three of them up the turboshaft. If you watch carefully, the deck numbers in the background as they rise upwards go as follows: 35, 52, 64, back to 52, 77, 78, and then 78 again! Not content with one goof, Kirk and McCoy can quite clearly be seen with their feet dangling in mid air, not on Spock's boots. They aren't exactly clinging to him either, more like leaning against him. Surely Kirk and McCoy would be unable to hold onto him!
Continuity mistake: Right at the beginning, a little girl does a somersault and her hat falls off. In the next shot as she's running, she has her hat back on.
Continuity mistake: After the SWAT team busts into the Griswold's home and an officer yells "Freeze!", Clark's right arm changes position from either being raised or lowered as the scene quick cuts.
Continuity mistake: At the end of the movie, when Riggs is in the cargo area, a gunman shoots at him, he rolls and starts emptying the clip into him - you see the bullet holes in the gunman. But as Riggs is face to face with the gunman, the holes disappear.
Continuity mistake: During the first car ride scene Harry is spitting the seeds out the window. One of the shots shown of the car from the outside shows the window still up after he has rolled it down.
Continuity mistake: In the scene where Ouiser sits and lets out a belch, if you look in the mirror, you can catch her laughing.
Continuity mistake: In Ellen Barkin's apartment, Al Pacino accidently knocks a postcard off of the fridge. A few seconds later, it's back where it was, though nobody picked it up.
Continuity mistake: Early in the film Bud throws his wedding ring down the latrine and then retrieves it with his right hand so it is covered with the blue disinfectant. In a (much) later scene, Bud has a blue right hand, despite not having had one in the intervening period. (01:44:48)
Continuity mistake: During the first battle in the woods, the Union Regiment levels their un-bayonetted weapons and fires a volley at the Confederates. About 3 seconds later, without the order having been given, they are in hand to hand combat with bayonets fixed.
Continuity mistake: When Philip surprises Alex and Corrine undressing in the living room, Corrine throws her panties in the air and they land on Philips' head. Philip pulls the panties off his head and throws them down. After a quick cut to the surprised Alex and Corrine, the camera cuts back to Phillip with the panties magically back on his head.
Continuity mistake: When Beck meets Webly on Christmas Day, Webly takes his glasses off and throws them on the desk, but in the next shot (from behind) he is still wearing them. (00:16:50)
Continuity mistake: When Lloyd calls Diane's house for the first time to ask her out, he gives her father his phone number as 555-1342 (several times), but later when Diane is reading her list of messages, Lloyd's number is listed as 555-2342. (00:12:40 - 00:15:50)
Continuity mistake: In the scene where Belushi and Jerry Lee (the dog) enter the warehouse, Belushi askes everyone to stop what they are doing and even has the forklift driver lift him up so he can talk to them. Once he is done talking, he tells the lift driver to bring him down. The next few shots where they show Belushi walking to his car, if you look closely, you will see that the fork lift is back up in the air, but there were no sounds and there isn't another lift to be found. (00:25:05)