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 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)
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.
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)
Visible crew/equipment: Watch for the boom when the cigar girl's Volvo boat swipes the building. It's on the top left of the screen on the widescreen version.
Continuity mistake: In the Caviar Factory scene, Bond is shooting at some enemies with a pistol. It cuts to a shot of Christmas and Valentin, then back to Bond. Now he has a submachine gun. Then, in another shot, he is back to his pistol again.
Audio problem: When Bond arrives at the King Industries place, where he meets Elektra King, watch the man he talks to when he gets out of his car. It is painfully obvious that the man's mouth is not in sync with what he is saying. Even worse, the voice is not even his. It is slightly higher pitched than the man's real voice when he finally talks right.
Continuity mistake: When Bond is sitting in the torture chair, and his right hand becomes free, you see him release his neck restraint, but never his left arm as he jumps from the chair.
Factual error: In the final battle, Bond shoots up the dive controls of the submarine and it dives vertically down, straight into the bottom of the Bosporus. The sub is said to be a Victor-III that is about 100 meters long. The Bosporus around Istanbul, however, is only about 50 meters deep, so the rest of the sub would have stuck out of the water, not be fully submerged as shown.
Plot hole: In the Banker's Office, Bond takes the strap from one of the window blinds to facilitate his escape. Overlooking the large quantity of cable he ties round the belt of the villain and his own belt, there must be an awful lot of strap for one blind to allow him to drop from that high up to the ground (well over 50ft?).
Continuity mistake: During the speed boat and Bond boat chase in the beginning Bond's hair can be seen going from wet, to dry and neatly done, then back to wet a few times.
Revealing mistake: During the gun battle after Renard escapes the bunker, someone gets shot, and you see the stunt bloke dive to the floor and scream even though the gun wasn't even pointed at him or any bullets fired. He's the one standing just to the right of the jeep as we look at it.
Continuity mistake: Right at the beginning of the film when Bond is trying to escape from the banker's office, he goes to the window and tucks his gun into his waistband. He then runs to the body lying on the other side of the office, and tucks it into his waistband again.
Factual error: King can't be a terribly good engineer. He's built his oil pipeline over a glacier. Glaciers flow. The pipeline would break within a year.
Continuity mistake: When Bond is with Electra, before he goes skiing (in the little room looking at the pipelines), he has at least one button done up on his jacket, then when he walks out to go skiing you see that they are all undone.
Factual error: In the scene where James is being told why Robert Carlisle's character is so deadly (no pain etc.), they mention a specific part of the brain - Medulla Oblongata, which the character has a bullet travelling through. This is part of the brain is responsible for control of breathing and the heart - you can't survive a bullet there...