Revealing mistake: At the very start, when the people are out of the plane, and Bond hasn't got a parachute. Obviously, the stuntman would have a mini-parachute under his jacket. The wind blows Bond's jacket up for just a second, and you can see some of the mini-parachute.
Continuity mistake: In the scene where Bond is in Drax's study with Miss Dufour, there is a shot where he appears to be photographing the documents just before gathering them and returning them to the safe. We see Bond's hands, but these hands do not hold the minicamera. The fingers are artfully folded to hide this.
Plot hole: After the six shuttles take off, there are obviously dozens, if not hundreds of Drax' minions left behind in the base. Not regular employees, but the kind that knows what's coming, if only because Drax is obviously talking about it, e.g. to Bond, quite openly. Would they just stoically stay behind to be gassed? One would think they would mutiny and rush the shuttles wouldn't one?
Revealing mistake: When the passengers disembark from the shuttle the camera appears to be on the side of the space station, but look at the stars on the bottom of the screen - they are moving a lot faster than the stars on the top of the screen, both sets of stars should be moving at the same speed.
Continuity mistake: When Bond throws the chain over the cable there are two handles attached to the chain, but when they slide away the handles on the chain are gone.
Revealing mistake: When the shuttle ejects the engines you can see the support wires used to pull off the boosters.