Factual error: The 15 bus in London does not go over Westminster Bridge.
Factual error: The winter car chase in Austria shows the Range Rover's license plate "IL 25768H" which stands for "Innsbruck Land" in the province of Tyrol, but the flag in the middle of the plate belongs to the province of Vienna. It should show the Tyrolean eagle. In addition it contains too many characters.
Continuity mistake: In the plane chase scene, when the plane hits the car, one of the wheels comes off. In the next view, all the landing gear is intact.
Continuity mistake: During the train ride in the desert Dr. Swan has an extreme red lip-gloss when she enters the scene. In the next sequence, she appears, in the storage car, the lip-gloss is gone.
Continuity mistake: During the plane/car chase scene the plane rams the back of the range rover and we see the nose crumple as it should. In all the shots after this the nose is perfect, but the back of the car is still smashed.
Factual error: M drives a 2006 Jaguar XJ, which is rammed sideways into a concrete wall by a black pickup truck. Such impacts would fire both thorax and curtain airbags on both sides of the car; these would be visible in the wreck afterwards, as limp sheets of cloth dangling down the sides of the seats and door, respectively. Without such protection, M and Bond would be severely concussed, and unable to operate. There are no bags.
Other mistake: When Bond and Dr. Swann make out on the train there are lights "flashing" in the room as if the train is passing streetlights. But they are traveling in the desert with no external lighting.
Plot hole: There's no good reason for Hinx to attack Bond on the train. Blofield was expecting him to turn up at the crater, that's why he sent the car to pick them up.
Other mistake: When Bond enters the ruins of the old MI6 building, he encounters the plaque that lists all of those that gave their lives in service of MI6. In Skyfall, M mentioned this plaque, and mentioned that Silva's (the antagonist of Skyfall) name was Tiago Rodriguez, and that his name is on that plaque, and that she'd have it struck from the plaque. However, she never had the chance to do so within the timeline of the film (almost immediately after she said this, Silva escaped and tried to kill her at the government hearing, after which she escaped with Bond to Scotland, and died there). His name, however, is absent from the plaque, and there isn't even a gap for where his name might have been even if she *had* had the chance to have it removed. (02:03:55)
Continuity mistake: When Hinx appears in the dining car on the train, the rest of the passengers in that car immediately disappear. Also the barman when they enter that part of the train and the kitchen staff too.
Factual error: When Bond's plane crashes head on into the Range Rover Sport, Hinx smashes through the windscreen, which shatters into small granules of glass, and lands on the bonnet. This would be quite realistic in the 1960's, but modern cars have laminated windscreens, seat belts, and large passenger airbags. Even if he undid his seat belt to shoot at Bond, or didn't wear it in the first place, the other two safety features would have kept him inside the vehicle. Not quite so dramatic, of course.
Other mistake: During the plane chase near the end the cars go off to Bond's left, then he has to avoid the trees and turns left himself, then we see the cars are way over to his right and the trees have disappeared. The cars have no time to get that far over to the right - Bond should have seen them when he turned left himself.
Factual error: The Aston Martin DB10 does not show a front licence plate, but it is required by law to show one at the front and back of the car in England and Europe.
Continuity mistake: In the tunnel where Bond's Jaguar is wrecked by a truck it shows Moneypenny, Q and Tanner getting shot at, which shatters the right rear window where Q is sitting. Shortly after, they meet up with M to race away, and only a bullet hole is seen in the same right rear window of the vehicle. (02:02:20 - 02:02:50)