Continuity mistake: When we see Q fishing, the lighting is totally different from when he's seen from the back in the next clip. Also the bank rises close behind him when seen from the front, but in the next clip the camera position is further back. Those are not shot in the same place. (01:09:30)
Continuity mistake: When Bond's Mercedes is on the railroad tracks, it is hit head on by an oncoming train. As it is shown sailing in the air backwards, it is very clear that the drive-train has been removed. When the car is shown again, it is now sailing nose first as it hits the water.
Continuity mistake: When Bond and the twin fall off the train, Bond's movements do not make sense. In the first clip they are both moving away from the train. In the next clip they are rolling partly along the tracks, partly towards them. In the next clip Bond is rolling forward straight into the bushes. (01:40:25)
Factual error: When riding in the truck with the Cuban soldiers Bond pulls their parachutes. In the next clip they are 5-6 meters up in the air. That is impossible. First, parachutes are not shot out, but merely pulled by the passing air. And the truck does not go fast enough to pull the parachutes. Second, even if the truck went fast enough, the soldiers would be pulled horizontally - and just fall off the truck, not get pulled vertically up in the air.
Continuity mistake: In the opening story, Bond flies in the small plane with a single jet engine. When the plane approaches the hangar to fly through it (the shot taken FROM the hangar towards the plane) you can see that the plane has TWO engines at the back.
Continuity mistake: When Bond is fighting the twin on the top of the train, there is a carriage behind them, but when both of them fall off the train, the carriage has suddenly disappeared.
Factual error: When Bond is being pursued through the jungle, we see what appears to be a crocodile swimming towards him. It is obviously an alligator, which can be identified by its broad snout (crocs have a narrow snout). There are no alligators in Asia. (01:05:00)
Plot hole: Bond falls off the train, and in the time it takes him to reach the air force base the train has arrived and unloaded all of the equipment including the cannon, staged a town parade including the cannon and erected and filled the big top with an audience. You could argue that the big top was sent ahead but the unloading and use of the cannon couldn't have been done in the time frame - would take at least 4-5 hours.
Other mistake: In the end credits, Jeremy Bulloch's surname is spelt as "Bullock."
Continuity mistake: During the rickshaw chase 30 minutes in, all external shots show that it has a clear plastic windscreen in front of the driver's face, but in all of the close up shots of the driver the camera is mounted on the rickshaw filming him and the windscreen is gone. (00:30:00 - 00:35:00)
Plot hole: When the saw yo-yo comes down for the third time, Bond grabs the cord to pull the wielder down off the gallery. That was, when you think about it, a patently bad idea. If the yo-yo hadn't become stuck in the desk, Bond would be collecting his fingers in his hat (note that the blades are still spinning as Bond grabs). (01:15:45)
Factual error: Bond pulls his mini jet out of the path of the missile racing in from behind, making it narrowly miss his aircraft. Like most such piloting stunts from Hollywood, it wouldn't have worked. Modern anti-aircraft missiles have proximity fuses and fragmentation warheads or continuous-rod warheads. They actually deliberately pass by the aircraft they are trying to destroy and explode next to them, because the cross-section is greater that way. There have even been cases when a missile actually hitting an airplane just disintegrated without exploding, thus saving the target.
Continuity mistake: When we see the Monsoon Palace from the lake, it is set very high on a barren brown mountain. But when Bond escapes on foot, he very quickly is in a dense and moist jungle - and walking out in a low-lying march land with a wide river. That can't be the same lake, since we don't see him running down a steep barren cliff-side.