Factual error: In the first minutes of the movie, Bond is in an Albatross L-39 ZA, ejecting his enemy (in the back seat, who wants to strangulate him), not himself (in the front seat). Bond unlocks the ejection system with the switch on the console, but in reality ejection in that aircraft is triggered by a double firing handle on the seat pan.
Factual error: The scene during Carver's big speech in Hamburg. Bond is being beaten up by 3 German guys in a small room away from Carver. One of the guys throws bond through the glass window separating it from the next room alone. This glass is extra tough given that it is, according to one of the security guards, completely soundproofed. As Bond is thrown through the window, the glass shatters smoothly. If you watch, in a smooth rippling affect from top to bottom the glass falls away - it is evidently not glass here. Glass would not shatter in a neat line, and would leave shards in the window frame. (00:36:15)
Continuity mistake: When the BMW goes through the shop window there is a large hole in the back of the car with steam coming out of it indicating that a steam cannon was used to shoot the car off the roof of the car park (although a pre-production book claims that the hole is for mines, which weren't used during the chase anyway). Regardless, cut to the overhead shot and the hole is gone.
Continuity mistake: After Bond finds Paris in his Hamburg hotel room and kills Dr Kaufmann he steps out on the balcony. Stamper is standing on an opposite building and the sky is dark blue and cloudy. At the following car scene on the garage's top floor the sky is light blue and cloudy.
Continuity mistake: The magazine in Bond's modified assault rifle changes length several times during the pre credits sequence. Whenever you see Pierce Brosnan's face, the rifle has the bigger 30 round mag, and whenever you don't see his face, this being his stunt double Wayne Michaels, the rifle has the smaller magazine. (This is seen in the jacket collar picture.)
Continuity mistake: When Wai Lin and Bond are placing the mines on the stealth ship, the underside of the boat is closed. Otherwise people could have easily seen them placing the mines through the big opening in the underside of the boat if it were open. But when they show the inside of the ship, the underside is open to the water.
Continuity mistake: When on the Stealth ship, Bond uses a fixed rocket launcher using controls on the left side of it, then he turns it to aim elsewhere and he's instantly on the right side. Possible flipping of the image? Also when he turns it, you can see there's an empty rocket tube next to him but in the couple of frames before it launches, all rockets are in their tubes. (01:41:10)
Continuity mistake: In the pre-credits plane chase scene the aircraft behind Bond's fires two missiles. Bond avoids the missiles and they strike the side of the mountain, exploding in a huge ball of flame and smoke. The pilot chasing Bond pulls up quickly, almost crashing into the mountain and passing through the cloud of smoke from the missiles. The camera angle cuts immediately to an overhead shot and it is completely clear around the jet; the smoke cloud from the missiles has disappeared. (00:08:35)
Continuity mistake: During the car chase in the parking garage, Bonds's remote-driven BMW has video camera lenses mounted on the forward-facing surfaces of the outside door mirrors. They are dark, round spots about 3/4" diameter. These were installed so the rear-seated stunt driver could sit low and unseen and still drive the car. This is all documented in the behind-the-scenes stuff on the DVD. Unfortunately, every shot of the car before the chase scene shows the mirrors to be the normal type with no cameras mounted in them.
Continuity mistake: During the Bond/Paris love scene in Hamburg, Paris puts her arms around Bond's neck and they begin kissing. In the next scene she can be seen putting her arms around Bond's neck for a second time.
Continuity mistake: In the garage chase scene, when the rocket goes through the BMW they show the shot of the side of the BMW; right as the rocket reaches where the front window was you can see that the rocket turns into more of a bottle rocket type thing as it goes through the car.
Continuity mistake: During the bike chase scene, the following Range Rover loses its indicator lens in one shot, only for it to re-appear in the next.
Plot hole: The helicopter bike jump was pointless as the helicopter was low down looking for them, not knowing they were in the building - Bond could have turned the bike around and gone back the way they came.