Continuity mistake: In Bond's hotel room, after Dr. Kauffman has killed Carver's wife, he takes out the tape that has been playing, holds it up, and it's fully rewound.
Continuity mistake: Gupta, Carver's gadget man, proves that Paris, Carver's wife, knows Bond extremely well by showing Carver some secret footage taken at the cable tv launch party. In that footage Paris says to Bond "Tell me James, do you still sleep with a gun under your pillow? As she asks him this question, Bond can be seen looking down over the railing at the crowd below. Yet if you rewind a few minutes to the actual moment in the movie when she asks him this question, Bond is not looking down, he is, in fact, regarding her fixedly. They clearly reshot it (even her intonation of the question is different).
Continuity mistake: When James has just jumped out of the plane, he has a diving rig that is somewhat different to the one he has when diving on the wreck of the Devonshire. In the water he wears a twinset manifold air-bottle rig. While skydiving the rig was not manifolded and the bottles were in a different position on his back. To change between the two requires some work with a tool kit, preferably on dry land.
Continuity mistake: The scene where there is a car chase with the very nicely equipped BMW, you could clearly see before the chase that the car was equipped with, I believe, five star rims, but in the scene it shows the back left tires having hubcaps instead of the five star rims.
Continuity mistake: As Bond is driving his BMW by remote control from the back seat, the bad guys shoot out the windshield with several machine guns and at least one rocket launcher. The damage to the interior of the BMW is substantial, most notably the bullet holes in the headrests in the rear seat. However, in a couple of subsequent shots the headrests are clean and undamaged, only to have the bullet holes suddenly re-appear in the following shots.
Continuity mistake: In the BMW chase scene the back window is clearly blown out, however as the camera goes back on Bond it is intact, and then missing as the rocket launcher goes cleanly through moments later.
Continuity mistake: Near the beginning when Bond causes mayhem, he sticks a grenade onto a moving vehicle and dives off it. As he jumps off and attacks a bad guy his collar is up (to better hide the face of the stuntman), then when it cuts back to a proper shot of him his collar's suddenly down. (00:04:50)
Continuity mistake: When Bond and Wei Lin are hanging from the poster halfway up Carver's Saigon skyscraper, they break a window to get back inside. In the first shot, before they even swing at it, there's a big white crack in it. In subsequent shots, the crack disappears and then reappears.
Continuity mistake: Carver is typing headlines for a story on the deaths of the British soldiers. In one shot, he types "killed" onto the large screen. In the immediately following shot, a reflection in his glasses shows the same word being typed again. (00:18:25)
Continuity mistake: During the car chase, Bond jumps into his car through a right hand side window. In one shot the front window is open, the camera changes to Bond. Then we see the back window is open and the front is closed. Bond jumps through the back window.
Continuity mistake: During the chase scene on the motor bike you can clearly see the Chinese agent's arm extend as they are going down some stairs proving that it's a fake arm, obviously so the rider is not as restricted as he would be if he were really handcuffed.
Continuity mistake: During the remote-control BMW car chase scene, there are a couple of clear shots of the steering wheel of the BMW shown not moving at all as the BMW is making violent turns, demonstrating that the steering wheel itself is not a part of the remote steering mechanisim within this particular vehicle. However, subsequent shots show the steering wheel spinning wildly in either direction as the car is going through its paces during the rest of the chase.
Continuity mistake: When James breaks into the lab on the roof, he replaces his phone in his inside left jacket pocket. When he goes to fry the security lock on the office door, he pulls it from his inside right jacket pocket.
Continuity mistake: In the scene where Bond is driving to his hotel room to find Paris dead, throughout several shots, the car window rolls itself up and down.
Continuity mistake: When Bond knocks out the MiG's copilot with the helmet, in the shot from behind the pilot (where Bond is quite obviously Pierce Brosnan) he is seen with a Beretta 92FS. However in the shot from behind Bond (now stuntman Wayne Michaels), the gun the copilot drops is now a Browning BDA. (00:05:30)
Continuity mistake: After Bond has disrobed Paris during their love scene, he puts his hands on her back and you can see that his left hand is on the top, but in the close-up of Paris in the next shot, it is now his right hand on top.
Continuity mistake: In the car chase in Hamburg, when Bond is in the back seat remotely driving the car, the car does a U-turn into another lane. After the car says "Reduce speed - pedestrians in roadway" there is a shot of the car's dashboard from inside the car, with the car travelling straight forward. The steering wheel, however, is tilted to the right, even though 1) The car is travelling straight and 2) The car had just made a LEFT turn. (00:57:30)
Continuity mistake: In the scene where the ship is being confronted by the Chinese MiGs and is attacked by the stealth boat an alarm sounds on the ship and all the sailors in the mess hall leave and go to their battle stations. A few shots later when the drill hits the ship and water rushes in it shows three or four sailors in the mess hall getting hit by the rushing water.