Continuity mistake: In the ski-scene, Bond and Elektra start well above the tree line. Even when they stop to look at a stretch of the pipeline they are obviously high above the treeline. At the instant the motorgliders appear they are well below the treeline.
Continuity mistake: When the pipe blows up, why does it blow up in three sections at the same time? Also, I might be wrong, but when we see the explosion it looks like a straight section of pipe, but when Bond and Jones are walking around afterwards, it's clearly a curved section that blew up.
Continuity mistake: Throughout the whole boat scene, Bond's little speedboat has a roof on it, but, when he goes up the ramp to jump onto the hot air balloon, the roof is gone so he can jump out. When did it come off?
Continuity mistake: In the scene where Bond has the X-ray specs he looks at a man who has a pistol and a knife in his pockets to the left, and over his right shoulder is a semi-automatic pistol. He confronts the man and both the knife and pistol are taken out, but the semi isn't seen again.
Continuity mistake: Just after Bond's BMW is sawn in half by the chopper, he says "Q's not gonna like this." In the close-up of him saying this, his hands (holding a gun) are not held up in front of his face. In the very next shot, viewed from behind, his hands are held high up and pointing towards the helicopter overhead. (01:32:02)
Continuity mistake: The distance between Cigar Girl's speedboat and the hot air balloon at the Millennium Dome varies drastically between shots and different angles.
Continuity mistake: In the establishing shot of the guy whose tie Bond subsequently pins to the bar in the casino, Bond's X-Ray sunglasses reveal he is carrying three weapons: a revolver and a knife on his left side, and on his right side a submachine gun. When Bond later uses the knife to pin the guy's tie to the bar and kicks his legs out from under him, his jacket falls open. We see the revolver, which Bond removes and gives to the barman. However, the submachine gun has mysteriously disappeared.
Continuity mistake: When M activates the GPS signal, Gabor is with Electra King, the signal is picked up straight away and Bond pinpoints it. Then the bomb goes off and Bond and Christmas run outside, only to be surrounded by Gabor and the henchmen. Gabor can't be in two places at once and there definitely wasn't time for him to get to Bond.
Continuity mistake: When the submarine surfaces in Istanbul it is under cover and arches go over the top of it, but later when Bond dives off the balcony the roof and arches have disappeared.
Continuity mistake: At the end of the boat chase we see the tide is out at the Millennium Dome and the boat gets beached, but when the girl exits the boat the tide is in and completely surrounds the boat, with no time for this to happen.
Continuity mistake: When the boat jumps over the road in the chase, it goes straight over the road and into the alley. However, in the next shot, it is driving through the alley, and passes behind a bus that wasn't in any of the previous shots.
Continuity mistake: The gun that Elektra uses near the climax and which Bond takes from her is a Colt Mk IV Series 70. However, when he's on the submarine, it turns into a regular M1911A1. Compare the finish on the wood grips and the fact that the Series 70 has a stainless barrel, whereas the 1911 doesn't.
Continuity mistake: In the nuclear decommissioning facility, when the Colonel, the soldier and Dr. Jones come down, the soldier hands the Colonel an AKS-74. However, when Renard shoves the picture of Dr. Arkov in the Colonel's chest, he doesn't have the AKS anymore, we can see he's not holding it because the Colonel holds the picture with two hands. After Renard grasps Bond's shoulder and walks back, he says "Without further interruptions" you can see another soldier holding the AKS-74. The Colonel is holding a Makarov when he orders the terrorists back to the surface.
Continuity mistake: When Bond first hits the water at the beginning of the Thames chase, the sky is very cloudy. A few shots later, in the overhead shot, it's blue skies and sunshine. (00:07:45)