Continuity mistake: When Hooper gets his gear from below, after the explosion in the engine room, he runs to the deck passing Quint using the fire extinguisher. The camera pans from Brody, who stands on the bridge deck, to Hooper right below him. So where exactly is the tall iron ladder that leads up to the bridge deck in this shot? It should be behind Hooper, in front of the window, but it's gone. Don't fret, it's back in the following shots. (01:49:05)
Continuity mistake: When Paul and Vance are talking in Vance's office, his glasses alternatively face him or Paul, depending on the camera angle. (00:13:25)