Continuity mistake: When Zorin is trying to break into the shed where Bond is, just after he's worked out what time high tide is, the door rattles, dropping a hard hat onto the ground, but leaving a red/yellow light/reflector hanging, quite securely. The door lock is also pointing down and right. A couple of shots later, without the door being rattled forcibly again, there's nothing hanging behind it, and the door lock is pointing right.
Revealing mistake: When Tibbett kicks one of the guards in Zorin's warehouse, watch the reaction by the other guard. He reacts before Tibbett's boot makes contact with the guard.
Revealing mistake: When the Rolls Royce is going underwater, it twists a little and you can clearly see that the car is empty.
Continuity mistake: After Pola Ivanova sneaks out of the baths, she climbs into the car with General Gogol, who can be seen to be a double and not Walter Gotell.
Continuity mistake: When the bearded security guard attempts to punch Bond in Zorin's warehouse, Bond moves out of the way and the guard makes a hole in the crate. In the next scene, when several crates fall on the guard knocking him out, Bond has suddenly disappeared, and the hole in the crate that the guard has made is bigger than it was in the previous scene.
Continuity mistake: During the chase between Bond and May Day on the Eiffel Tower, May Day turns around and whips a fishing line at Bond which sends him sprawling over the rail. When he is suspended upside down halfway over the railing you can see his legs are wide apart, but when he regains his balance and starts to unwind the line, his legs are now bound together.
Other mistake: During the mine scene, we see Stacy Sutton in very tight miners overalls, then Mayday rips them off to the white dress she was wearing beforehand. There was not enough room in those tight overalls to hike up or bunch the skirt in any way for her to move her legs, or for her to have both legs in both pant legs.
Continuity mistake: After the riders have jumped the water jump in the steeplechase scene, Bond is joined by a group of Zorin's exercise boys. You can see that a rider with a dark green helmet is positioned a few yards ahead of Bond, but in the next scene he is next to Bond and attacking him.
Audio problem: When Bond listens to the cassette of the conversation between Zorin and Bob Conley at the dock warehouse, it is a completely different conversation to the one heard at the warehouse.
Factual error: When Bond crashes the snowmobile he ends up in a ditch to escape - he uses the front ski, but when he knocks the two soldiers over he is skiing uphill - no way to manage this from a standing start in a ditch.