Continuity mistake: When Bond shoots the man in the tree, he is wearing a hat. He is still wearing it as he falls, but when he is shown on the ground, it is nowhere to be seen.
Continuity mistake: When Drax is jetisened from the Space Station by Bond, he flips end over end but at some point in the last moments we see him his body moves upward as though he hit some turbulence and then it moves downward. This isn't possible in space because unlike skydiving where one can manipulate his body in flight, in space one can't change his momentum without something to counteract the direction one's headed in like jet propulsion or running into an object that would allow them to stop the way they were previously headed. Drax has neither the jet propulsion since he is ejected in just his suit and doesn't run into anything which would change his direction.
Continuity mistake: In Venice, the man in the coffin throws a knife at the captain of the gondola and one at Bond. There were 4 knives besides him and 3 after that. When he dies, the knives have disappeared.
Continuity mistake: When James Bond is falling from the airplane, his Jacket is attached to his pants but it wasn't when he was in the airplane.
Continuity mistake: The helicopter on which Corinne Dufour and James Bond fly has a huge number written on the bottom, but it has disappeared when they arrive at Drax's palace.
Continuity mistake: When the bad guy is struggling with Bond at the beginning trying to get the parachute, just before Bond kicks the bad guy away for good, there are shots of Bond's face and he's wearing the kind of eye protection goggles Jaws has on, only in a clear color. Bond didn't have these with him and never put any on, and in shots after the bad guy gets the boot, he doesn't have the goggles on anymore.
