Continuity mistake: At the end, all the marines reveal themselves, to the surprise of Bond and the woman (fair enough). But at the same time three helicopters come in from the top of the screen, which apparently no-one had heard or seen until that second. Odd, especially since they only start making any noise when they're in shot...
Continuity mistake: When Alec confronts Bond in the storeroom at the beginning of the film, he's seen pointing a suppressed Browning BDA at him; however in the other scenes the gun switches to an anachronistic Browning BDM (as this sequence is set in 1986). The BDM is what Trevelyan uses during the climax.
Continuity mistake: After the American agent "delivers" the Cessna to James Bond and Natalia, they make several passes over the lake in Cuba. Then the plane is hit by a rocket. Right before they crash the plane, it becomes a different plane. The original one is white and maroon. The one that crashes is white and red. It happened too fast to check the N-Number or registration, but the second plane was an earlier model as well.
Continuity mistake: During the pursuit scene in St-Petersburg, two military trucks breaks a fence and fall in the water. The first one contains 2 passengers, but 3 are ejected from it and the second one contains 3 passengers and 2 are ejected from it. More strange, the one with 2 passenger was behind the one with 3 passengers some shots before. I don't see why they would chase between them.
Continuity mistake: Opening sequence when Bond bungees off the dam, you see him lay down the bungee cord he uses, it appears to be no more than a couple meters of cord. Seconds later there is a shot of the dam itself, panning upwards from the bottom. The dam appears to be several hundred meters high, not a chance that tiny cord is enough.
Continuity mistake: In the scene where Bond in the tank has caught up with the train [hard as that is to believe] they show Bond firing a shot at the train. After the shot is fired they show Bond jump out of the tank and run off screen. Approximately 4-10 seconds later they show Bond hiding by the sides of the tracks as the train crashes into the tank, but he appears to be roughly 200 yards or so down the track. I had no idea that Bond could run that fast. Bond also did not seem winded as he entered the cabin of the engine.
Continuity mistake: Near the beginning just before the radar station is destroyed you can see over Natalya's shoulder on the large map, that the Goldeneye is somewhere over northern Russia, the very next frame shows the map with the Goldeneye marker flashing because it is over its target in west Russia.
Continuity mistake: In the middle of the tank chase, you see that part of one tank's front left flap (or whatever you call the thing hanging in the very front of the tank between its tracks) went missing - an obvious result of ramming through buildings, etc. In all subsequent tank shots, though, you see the flap in perfect condition again.
Continuity mistake: When James is chasing Natalia and Ouromov through St. Petersburg in the tank, James crashes through various walls and statues, but when he is looking down at Xenia, Ouromov, and Natalia as they get on the train, the tank is wiped clean with no sign of bricks, Perrier cans, or any other debris.