Continuity mistake: The first time we see Goldfinger by the pool, in the wide angle there's a girl with an orange bathing suit, and a man with a striped shirt next to her. In the close-up, the man now has a white T-shirt with a blue print, and the girl has a white bikini and an orange skirt.
Continuity mistake: When the head of the statue falls on the ground after being decapitated by Oddjob's bowler hat, the head is now bright white and no longer matches the colour of the original marble.
Continuity mistake: When Colonel Smithers says "That's not quite fair" during the dinner sequence with Bond and M, the position of Smithers' hand/cigar jumps between shots.
Continuity mistake: When Bond gets in the car outside the hangar in Kentucky, we see Oddjob open his door to get in. In the close up of Bond in the next shot, however, we see the car door is now closed, but we still hear it closing in the shot.
Continuity mistake: When Bond and Oddjob are fighting to the death at Fort Knox, Bond retrieves Oddjob's lethal steel-brimmed derby hat and takes aim, preparing for a backhand throw with his left hand. Camera cuts to a startled Oddjob for a split-second. When the camera cuts back to Bond, he is executing a much more difficult forehand throw with his right hand.
Continuity mistake: In the opening, Bond finds the button to let open the secret hatch in the oil tank. This hatch looks very heavy and is driven by a motor or something; you can hear the humming sound of it as well. When Bond is inside, now he can close it by hand. Also when he leaves the oil tank, he uses the same hatch, and can now open and close the hatch again with his hands.