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: 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: 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)
Factual error: In the scene where HMS Devonshire is allegedly being sent off course because of spurious GPS signals, a brief space shot shows a CMGN communications satellite orbiting close to a GPS satellite. The CMGN satellite would need to be in geo-stationary orbit. The GPS satellites are in quite different polar orbits, much closer to earth. Moreover, GPS position-fixing requires data from several satellites, not just one. The alleged interference could not be made in this way.
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 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.
Visible crew/equipment: James hurls a Heavy in a red jacket into a printing press; as he breaks the paper, you can just make out a black crash mat.
Revealing mistake: When Bond holds Carver against the computer so the big drill will kill him, you can easily see that the computer behind them isn't real. As the drill rips into the 'computer' it's all white inside, just like styrofoam. They probably used it as it gets destroyed easily and would make the drill look really powerful as bits of it flew everywhere.
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: The Chinese agent handcuffs Bond to the shower. Then she is running away and you can see her from the back picking up a piece of clothing. Her hair is completely dry, although she was under the shower with Bond only a few seconds ago.
Visible crew/equipment: When the BMW shoots the car with its car rocket launcher, the rocket then hits the car, sending it flying back, you are able to see a set of wires leading under the car then off screen.
Audio problem: After the engines of the stealth boat are stopped, Bond is walking around with a sub machine gun and his pistol. His pistol has a large silencer/suppressor on it. A man tries to ambush him on a later and Bond turns and fires his pistol at him several times. Despite the suppressor, the gun makes the full sound of the shots. (01:45:14)
Factual error: In the scene with Bond in Oxford, the audience sees an aerial shot of the college he is supposedly studying Danish in. The college shown is Brasenose. However, in the next shot showing the college courtyard, the college has magically switched to New College - 10 minutes' walk from Brasenose.
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.
Factual error: Carver tells Stamper to be sure and use the correct ammunition when shooting the British sailors. Stamper then uses an M60E3, an American light machine gun firing 7.62x51 mm ammo. To properly frame the Chinese, he should have used a weapon firing 7.62x54R mm, 7.62x39 mm or 5.45x39 mm ammo.
Plot hole: One of the most memorable aspects of this movie is the motorcycle/helicopter chase scene. There are machine guns firing hundreds of rounds, there's a motorcycle leaping from rooftop to rooftop, and a large helicopter performing some amazing aerial stunts, then eventually crashing. All of these things happen in a very crowded part of the city. Yet after the crash, Bond and Wei Lin walk from the courtyard area where most of the action has taken place to the street just on the other side of the buildings, and no one seems to have noticed gunfire, the exploding helicopter, etc.