Continuity mistake: When Bond and Melina are in the shipwreck, underwater, and the guy inside the robot attacks, look at the Atac(when the robot man grabs it from Bond) and the scuba gears - they are wet but not like being underwater.
Continuity mistake: When James is being chased by Eric the skiing expert he gets a ski pole shot out of his hand. He escapes by getting in an elevator going to the top of the ski jump. As he is going down the jump a guy bumps into him - James is only able to stay up because he has both poles again.
Continuity mistake: The escape scene from Gonzalez's villa. Bond uses a sun umbrella as a parachute. The camera shows Bond jumping, under the opened umbrella. At that point, the umbrella canopy doesn't have any bullet holes in it. Bond reaches the ground, lets go of the umbrella and runs. The camera cuts to the guard on the ledge above about to fire at the umbrella. He hasn't yet fired any bullets, but in the next shot there are suddenly already bullet holes in the canopy before the guard actually begins firing.
Continuity mistake: When Bibi is in bed in her hotel room, she pats the pillow next to her and she has one arm on the pillow and one arm on the bedsheet, but when we cut to a long shot, she has both arms behind her, and when Bond puts her clothes in front of her on the bed, Bibi now has both arms on the bedsheet.
Continuity mistake: When Locque kills Lisl on the beach by running over her with his dune buggy, the impact breaks the passenger side headlight. When Bond's foot kicks the gun out of Locque's hand a little later on, the headlight that was dangling from the car moments earlier is now securely back in place.
Continuity mistake: When the Neptune is hauled aboard and Kristatos begins talking, you can see his yacht in the background moving slowly. When Apostis takes the ATAC system away from Bond and Melina, the yacht is now much closer, at apparently the same speed.
Continuity mistake: When Kristatos brings the Neptune sub up, Melina gets out, and stops at the bottom of the ladder, still holding the handrails. In the very next shot, she is standing off the ladder and closer to Bond.
Continuity mistake: When the two black cars leave Gonzales' estate to pursue Bond and Melina, look at the first car and you can see the driver is not the same one who appears later on in the chase.
Continuity mistake: Bond fixes the end of his rope with a spring-loaded camming device (which is unsuitable for lose, porous rock by the way). When Apostis tries to dislodge him, the end loop of the rope is fixed to a piton - it has to be, because SLCDs literally cannot be knocked out of the rock.
Continuity mistake: When Bond jumps over the two henchmen shooting at him during the ski chase, he causes one of the henchmen to fall over. As he falls over, his motorbike does too, but the bike is back upright again immediately when Kriegler skis over them.
Continuity mistake: When the three ice-hockey players are warming up on the ice rink, you can see there is a puck next to the goal, but when the players start charging towards Bond, the puck has disappeared.
Continuity mistake: As Locque speeds away from the burning warehouse, Bond shoots two bullet holes in his rear window which disappear and reappear in subsequent shots.