Revealing mistake: When Bond is going to the Swiss banker's flat in Bilbao at the beginning of the film, there is a scene where, in the background, you can clearly see people watching the filming. (00:01:15)
Continuity mistake: In the first scene, when Bond has a gun to the Swiss banker's head, in the first shot Bond's got his gun pressed right up to the guy's neck. However, when it cuts, the gun is a couple of inches from the banker's face. (00:02:20)
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)
Revealing mistake: During the pursuit scene on the Thames, there is nobody in the boat during one shot, when it breaks the fence. (00:11:55)
Continuity mistake: When James is chasing the other boat in the beginning, he fires the top torpedo first. Then, when they show him fire the second torpedo, the bottom hole is empty, and he fires the same torpedo (the one on top) again... (00:12:35)
Continuity mistake: At the end of the pursuit scene, the boat of the "cigar" girl stops on the bank of the Thames in front of the Millenium Dome. But it's completely in the water in one shot when Bond's boat passes over it, and it seems to be moored. (00:12:55)
Continuity mistake: When Q shows the boat to Bond, it looks much more damaged than at the end of the pursuit scene, when it landed relatively gently in water. (00:20:35)
Continuity mistake: When they're looking at the computer model of Renard's head (just after the doctor says "medulla oblongata"), count the pings. The first two times we hear one, a slight pause, then 3 close together, with corresponding green pointers on the image, then a higher pitched one on the green box. However, the third time (after "than any normal man") there's no initial ping with pause, just the 3 close together. Then just as we're expecting the higher one we cut to a shot of M, and we hear another middle beep before the final one. The sequence starts again, we cut back to the model in the middle of it, and we get an extra beep again, plus see that the beeps are now completely out of sync with bits of the model being illuminated. (00:25:50)
Other mistake: The security monitor in Valentin's office shows a cinematic wide shot of the casino with the camera moving. It seems unlikely that a CCTV camera would be mounted to a crane to perform elegant moves like this. (00:43:55)
Audio problem: When Bond is sliding on the chains after Renard has activated the bomb at the test site he shouts, "Slam the door. Close it." The second part of what he says doesn't quite match his mouth's movements. (01:04:20)
Revealing mistake: In Kazakhstan, when Bond jumps through the closing door, you can see without slow-motion that it's a stuntman. (01:04:45)
Continuity mistake: Just after Bond and Christmas Jones climb out of the pipe, Bond is holding his shoulder and his blazer sleeves are up. In the next shot, his arms are by his side and his blazer is all neat. (01:20:05)
Continuity mistake: When Valentin first falls into his Caviar it's very thick. In following shots the consistency changes to being much more watery. (01:30:35)
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)
Revealing mistake: During the ski chase, a paratrooper pulls out a submachine gun and fires a volley of bullets at Bond. However, as these hits the ground, you can see that actually there are two parallel lines of explosions behind Bond. The submachine gun can't possibly shoot two regular lines of bullets like that. (01:37:00)
Revealing mistake: After Renard has been hit with the rod at the end, he falls and as he lands the rod shakes, revealing that it is in fact light and hollow. (01:56:15)
Continuity mistake: When Bond and Christmas surface, after escaping the submarine, there are no bubbles at all around them, which is impossible since we've just seen the submarine explode, releasing loads of gas. (01:57:10)
Factual error: At the beginning of the film, with the boat chase down the River Thames, Bond manages to get from the Vauxhall HQ of MI6 to Docklands in a remarkably short time. To travel the distance in the time that it takes him, you would need to be going at about 700 mph.
Factual error: In the boat scene at the beginning, the route is completely impossible. James Bond drives out from several dead ends.
Factual error: When Bond and Christmas are inside the oil pipeline, there are lights in the 'ceiling'. Why would there be lights inside an oil pipe? It also sounds dangerous.
Answer: It's a variation on the "standard" James Bond theme.