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...
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)
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: In the scene of the boat chase, Bond smashes the machine gun holder, and some parts fall on to the Cigar Girl. When the camera goes back to the girl there are no parts on her.
Factual error: In the scene where Bond is watching the screen showing the bomb going through the pipeline, he asks for the distance the bomb has to travel and how fast it is going. Bond is told the bomb "is 106 miles from the terminal, going 70 mph." Bond says, "We've got 78 minutes." Wrong. At 70 mph (1.17 miles a minute) it would take about 91 minutes to cover that distance.
Continuity mistake: After the oil pipe is blown up, almost killing Bond, there's a large crater, as expected, but the blast also somehow severed the smoldering trees as if done by a chainsaw.
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)
Factual error: When Christmas and Bond are on the rigs in the pipeline and are supposedly moving at about 70mph their hair only move about a little bit and very little flapping of the clothes. 70mph is a significant blast, try opening a window on a motorway.
Revealing mistake: At the beginning when Bond jumps into the speed boat to chase after the assassin, he's not wearing a helmet. But when the speed boat hits the bigger one and rolls in the air, you can clearly see the driver with a helmet on.
Continuity mistake: When M is imprisoned and is being spoken to by Robert Carlyle she is wearing a multi-coloured scarf which is draped over her left shoulder and down the left side of her body. When Carlyle leaves the room M turns around and walks towards the bed. The camera angle is reversed and she's not wearing the scarf. Later it is shown lying across the bed.
Factual error: When Valentin takes Bond and Christmas into the FSB's headquarters in Istanbul, he explains "This used to be the KGB's headquarters in Istanbul. Now we call it the FSB: Federal Security Bureau. Different name, same friendly service," or something to that effect. However, the important part that Valentin flubs is that "FSB" is the *Russian* acronym transliterated into the Roman alphabet. What it really stands for is Federalnaya Sluzhba Bezopasnosti. If he'd said the name correctly in English, he would've said "Federal Security Service," the FSB's official English name and that appears on all of its translated literature. Had a character unfamiliar with the FSB (Mr. Bullion, Electra, Bond, Christmas, and possibly even Renard) made this same flub, it would've been understandable. However, Valentin knows the FSB so well that he can apparently just waltz into a foreign headquarters building with whoever he wants. If he knows them that well, he's flat out not going to make so simple a mistake.
Continuity mistake: Despite running and jumping for her life, traveling at over 70mph, tumbling head over heels, and several massive explosions (during the nuclear factory and pipeline sequences), Dr. Jones' hair remains pinned up in a French twist with nary a strand out of place. Uh-huh. This is particularly glaring considering near the end of the film, the impact of an explosion finally does knock her hair loose.
Continuity mistake: In the opening scene in the bankers office, the henchman comes in and places the suitcase on the desk and opens it so Bond can check the cash inside. Minutes later when Bond makes his escape out the window, the suitcase is on the floor, locked - very convenient.
Continuity mistake: In the scene where the doctor is telling the staff of MI6 about Renard, she says the bullet is moving through the medulla oblongata which is located in the neck below the left ear. However, Renard was shot in the head above his eyebrow, and in the hologram, it shows the bullet was moving straight into the middle of his brain.