Continuity mistake: In the nuclear decommissioning facility, when the Colonel, the soldier and Dr. Jones come down, the soldier hands the Colonel an AKS-74. However, when Renard shoves the picture of Dr. Arkov in the Colonel's chest, he doesn't have the AKS anymore, we can see he's not holding it because the Colonel holds the picture with two hands. After Renard grasps Bond's shoulder and walks back, he says "Without further interruptions" you can see another soldier holding the AKS-74. The Colonel is holding a Makarov when he orders the terrorists back to the surface.
Audio problem: In the village in Azerbaijan, Bond tells Elektra she might be in danger and she laughs, telling him "I have something I want to show you" as she walks away in a long-shot. It's obvious this line was dubbed in during post-production - there's a very sudden, very noticeable drop in background noise and her mouth (although it's hard to tell from a distance) doesn't seem to move with the words.Shay
Continuity mistake: When Bond first hits the water at the beginning of the Thames chase, the sky is very cloudy. A few shots later, in the overhead shot, it's blue skies and sunshine. (00:07:45)
Revealing mistake: Right at the beginning of the boat chase when Bond drives the boat through the waterway in MI6, before he jumps the boat into the river, there is a shot roughly from Q's POV, the boat clearly slows right down before it reaches the end. It couldn't fly as far through the air as shown.
Continuity mistake: When Bond's in the chair having his neck broken, between two shots the handles change position. Also, at one point we hear that the woman turns the handles a bit, but in the next shot they haven't moved.
Factual error: When Bond's BMW gets cut in half it folds in on itself too much, as if the engine, axles, car interior, etc. has been removed. If anything the two halves should fall in the other direction.
Factual error: In the scene where Zukovsky is almost drowning in caviar he lies very deep - only the top of his face above the surface. The depth of a body in a liquid depends on the proportions between the density of the body and the liquid. For example in the Dead Sea, with its high salt content, the water has a high density, so a body floats higher than in fresh water. Caviar must have a quite high density too - probably as high as the water in the Dead Sea, since it tastes quite salt too. So if a person was floating in caviar, he would not go as deep down as Zukovsky does in that scene. That looks more like how deep he would go in fresh water.Jacob La Cour
Continuity mistake: In the warehouse sequence Bond is taking cover from gun fire and yells to Zukovsky and Christmas "Get Out!" while holding his Walther P99. A helicopter cuts though the building his in and he drops down to protect himself (he's in the same place) and he's holding another gun (possibly an UZI) Then a couple of scenes later 007 drops down on two bad guys and shoots them with his P99.
Revealing mistake: During the action sequence on the labyrinthine docks on the Caspian Sea, one of the choppers with the rotating blades saws Bond's BMW in half. A cutaway shot reveals Bond nearby, murmuring, "Q's not gonna like this." The next shot is in back of Bond, seeing the newly split BMW fall apart, but Pierce Brosnan has been replaced with a dummy. This is most obvious during the over-the shoulder shot of the BMW falling apart, where Bond's gun is now held in front of him. Also, when the car splits in two, the dummy shakes a bit.