Continuity mistake: When James is chasing the other boat in the beginning, he fires the top torpedo first. Then when they show him fire the second torpedo, the bottom hole is empty, and he fires the same torpedo (the one on top) again... (00:12:35)
Visible crew/equipment: Watch for the boom when the cigar girl's Volvo boat swipes the building (it's on the top left of the screen on the widescreen version).
Continuity mistake: In the first scene, when Bond has a gun to the Swiss banker's head, in the first shot Bond's got his gun pressed right up to the guy's neck. However, when it cuts, the gun is a couple of inches from the banker's face. (00:02:20)
Continuity mistake: Just after Bond's BMW is sawn in half by the chopper, he says "Q's not gonna like this." In the close-up of him saying this, his hands (holding a gun) are not held up in front of his face. In the very next shot, viewed from behind, his hands are held high up and pointing towards the helicopter overhead. (01:32:02)