Continuity mistake: When Bond lets go of Trevelyan on the antenna, he falls straight down and lands on the flat surface of the dish. However, he should've actually fallen into the large hole in the centre of the dish which collected all the water earlier. It's even shown directly below him as he falls. (01:57:20)
Plot hole: In Cuba, Bond and Natalia are in a plane flying over a lake, attempting to find the Goldeneye control station. The station is hidden, and the Janus Group inside obviously does not want the operation discovered until it's time to go with their plan. They are hidden so well, Bond and Natalia are about to give up. Yet, the enemy fires a rocket at the plane to shoot it down, and sends Xenia in pursuit to finish them off. This does not logically make sense, as the rocket would be a dead giveaway that the base is actually there and lets Bond know it. That, and the rocket would be seen by the US government, letting them know that Janus is there. So even if the rocket succeeds in killing Bond, it would give the US government a precise target and would undermine Janus' entire operation. The logical thing to have done would let Bond leave empty handed. (01:37:00)
Suggested correction: Even if Janus believes he's shooting at Bond and thus alerting the US government, he doesn't believe the US government can act fast enough to stop him. Janus is fully convinced that the only way his plan can fail is through Bond, so giving away his location as a trade for Bond's head still isn't too far off. Also, Janus knows Bond well enough to believe that Bond would never leave empty-handed under any circumstances, so he'd better take the clear shot now than allow Bond to enter his base.
Factual error: Boris changes the satellite's orbit to be over London instantaneously via computer. Re-tasking a satellite takes days, even weeks. (01:43:00)
Suggested correction: We're talking about a fictional USSR weapon. There's nothing saying it couldn't have been designed in canon for rapid positioning. Furthermore, we don't see Boris again after betraying Natalya until we see him in Cuba, which could have easily been a week or 2 - he could have started the repositioning when he first arrived.
Factual error: In the tank chase scene, Bond drives through the concrete wall with the turret forward. This would absolutely wreck the gun. Also later the tank is sliding around on the road. A real tank wouldn't do this, it would rip up the road. (01:17:30)
Continuity mistake: When the dish is draining out, the concrete is smooth, allowing all the water to run down the hole with no interference. Later, when Bond and Natalya are skidding down the dish, there is a little ledge around the hole that stops them falling to their death. (01:43:50)
Revealing mistake: When James Bond is cutting the floor of the train with his laser watch, there's a faint outline of some kind of explosives that creates the sparkles. (01:28:30)
Continuity mistake: When we first see the Goldeneye sattelite in space, the Earth turns in different directions from one shot to another. (00:37:10)
Other mistake: When the Goldeneye is first fired, watch as the planes collide and then explode, one at a time. The plane that blows up closest to the camera is the exact same explosion, debris and all, that occurs when the second satellite is destroyed at the end of the film in space. (00:39:00 - 01:57:00)
Continuity mistake: When Q demonstrates the pen grenade to Bond, he says that it will explode after four seconds, when you click three times. But when he tests the pen, it explodes one second earlier. And when Grishenko is clicking the pen and Bond throws it away at the control station in Cuba, it explodes two seconds later. (00:49:55)
Visible crew/equipment: Throughout the film, but in particular near the dish in Cuba, the models of buildings are obvious with typical small flames and/or droplets of water (from the days of 'Earthquake') when they explode. (01:40:00)
Deliberate mistake: Throughout the entire movie every character seems to speak fluent English, despite several portions of the movie take place in remote Russian locations.
Continuity mistake: In the shot where Bond crashes through the window in the St. Petersburg barracks building, there is a clear blue sky above. Right after that, the sky is grey, and the ground views of the St. Petersburg obviously had no sun shining on anything. (01:16:45)
Continuity mistake: In the tank chase scene, if you look at the cars, you will see that the same cars keep cropping up throughout the entire chase. (01:20:40)
Audio problem: While Bond is wrestling with the pilot inside the small plane at the beginning, he leans out of the door and shoots a guard on a bike. However, the actual gunshot is heard before he even points his gun. (00:07:30)
Revealing mistake: When Trevelyan shoots with an automatic gun in the chemical weapon factory, there's some shots where the flame doesn't come from the gun itself. There's some device producing the flame beside it. (00:05:40)
Character mistake: When Bond is jumping from the dam in the opening sequence, you see him 'clip in' twice, once attaching the rope to his feet, and once attaching the rope to the dam. He is using screw-gate carabiners, large clips that have a small bevel gate on them that secure them shut. Yet Bond doesn't screw them shut - all it takes is a simple flick of the fingers and they're done. This means that they're not as safe as they should be, and could potentially open - particularly when doing something as stressful as diving off a dam. You would have thought that as Bond's parents 'had the luxury of dying in a climbing accident' as Trevelyan puts it, he would take more care over basic safety procedures when using ropes and climbing equipment. (00:01:10)
Revealing mistake: At the scene where Alec Trevelyan and Bond are fighting on the antenna cradle, there is one shot (about 1 second in length) where you can see the face of the stunt double. This occurs just after Bond rolls down the stairs, and we see a shot of Trevelyan putting a new magazine in his gun. The double jumps over the edge of the platform, and then Brosnan is in the room with the huge chain drive thing that moves the antenna. (01:53:00)
Factual error: The missiles launched by the helicopter when Bond and Natalya are tied up in the cockpit are Mistrals, as revealed by the cockpit's screens - short range infra-red homing missiles. They home in on heat, they can't be programmed to turn 180 degrees in mid-air and target a specific location as they do here.
Other mistake: It's quite convenient for the plot that Natalya knew about both Goldeneye satellites but never seemed to know where Mischa was operated from otherwise she and Bond could have gone to Cuba without having to spike Boris' location.
Revealing mistake: In the pre-title sequence, there is a shot just after Bond leaves the Russian facility while escaping. In the shot, there is a plane moving, and in the background, Bond is standing and aiming his gun at the plane. The person appearing isn't Brosnan; he is a stunt double. The stunt double's face is visible on Blu-ray. He's noticeable even without stopping the movie. (00:08:20)