Plot hole: Stromberg One is on 48 degrees West, Stromberg Two is at 22 degrees West, and the Liparus further east. That means that Stromberg Two has sailed at least 28 degrees since its departure from the Liparus. That is more than 2.500 km and would take a submarine several days. How did it get that far in a few hours?
Continuity mistake: Just before Bond overtakes the white lorry, there is nothing coming the other way. In the shot of him overtaking it, there is a blue lorry. After Bond has passed the white lorry, the blue one disappears.
Continuity mistake: In the scene where Stromberg is thanking Dr Bechman and Professor Marcovitz he he has a towel in his hand. When the camera changes to another angle that shows the back of his chair his hands are totally empty and resting on an arm of the chair. Then it changes back to the original camera angle and he now has a towel in his hands again.
Factual error: When Jaws kills the shark, the carcass floats on the surface of the water in the tank. It should sink to the bottom, as dead sharks do.
Continuity mistake: When Q is showing the microfilm to Bond and XXX, Bond points at the Stromberg fish. But he points right at the projector. That would have made his finger much larger compared to the screen than it is in the next clip - and blurred. Furthermore the position of his finger on the screen doesn't match with the position he holds it in.
Audio problem: After Bond sets the timer on the bomb at the end, the ticks don't add up. There's a definite tick each second, and you can count 12 of them after he starts it, then we cut back to the bomb and only 7 seconds have passed. (As a vague trivia aside, coincidence though it is, on the UK DVD he pulls the pin out at the DVD second timer ticks onto "07").
Factual error: When James Bond programs the two submarines to destroy each other we see the paths of the missiles displayed on a globe. They swing across in two arcs, narrowly missing each other. However, we are looking down on the surface of the globe, with no height perception, so the missiles should in fact travel in straight lines directly betweeen the submarines.
Continuity mistake: When the rescue pod is speeding towards the surface you can see it has a keel weight which, judging from the size of the pod, must be 3-4 meters long. When it floats into the cargo bay of the navy ship, there wouldn't be room for the keel. You can see that the water level in the cargo bay is no more than 1-1½ meters.
Continuity mistake: When Stromberg raises his 'house' from the sea, in the first shot where the paintings slide up, you can see the water's surface in the top of the window. But in the next clip, exterior shot, the house is still fully submerged. And based on the size of the house and the location of Stromberg's living room, his windows must have been 10-20 meters below the surface in the first situation.