Continuity mistake: When the two women put the necklace around Jack's neck they are stood next to each other and are close enough that they are touching each other as they put the necklace on. When the shot changes they are stood around 1ft away from each other. (00:31:20)
Continuity mistake: When Jack first gets slimed, in the shot of him to the side there is a glob of slime on his chest dripping to the floor. When the shot changes to in front of Jack, this glob of slime has gone and is replaced a second later. (02:09:20)
Continuity mistake: Beckett tells Elizabeth that she needs to up her offer. She replies by cocking the gun that is under Beckett's chin. Beckett then walks with the gun under his chin to his desk. However, when he arrives at his desk, the gun is now by his right cheek. (00:28:50)
Continuity mistake: When talking to Bootstrap for the first time, Bootstrap is saying how he was thinking about any chance of escape he would take it. When he's talking, the bone in Jack's hair switches from uncovered to covered between the long and close shots. (00:15:10)
Continuity mistake: When Jack, Norrington and Elizabeth find the chest, the amount of flowers visible changes instantly. (01:41:20)
Continuity mistake: When Norrington, Elizabeth and Jack find the chest they wipe some sand off and there are black parts of the chest visible. When they pull the chest out of the ground, all the black bits are gone and is covered in sand.
Continuity mistake: When Norrington and Elizabeth are talking about how Will ended up on the Dutchman in the shots of Norrington you can see it's raining though not heavy. In the shots of Elizabeth however it's not raining despite being stood in front of each other. (01:29:00)
Continuity mistake: During the three way fight for the key, Will uses the bell rope to grab the key from Norrington. A couple of minutes later, while they are fighting on the roof, Jack sneaks up behind them and tries to snatch it from Norrington, despite already having taken it. (01:49:00 - 01:51:00)
Suggested correction: Norrington takes it back from Will during their fight on the roof (not seen but possible), only then Jack tries to take it again.