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.
Continuity mistake: When Bond first sees golden Jill on the bed she is lying diagonally across the bed with her right foot on the bed and pointed like a ballerina on points. As Bond approaches the bed her right foot is pointing towards the camera. The last shot of Jill's legs show both her feet hanging over the end of the bed meaning that she has changed position and is now lying straight along the bed.
Continuity mistake: Goldfinger's crew uses a giant truck-mounted laser to burn their way through the Fort Knox entrance. Several shots of the truck show the laser beam being moved across the entrance extremely rapidly; however, when these shots are intercut with views of the entrance itself, the beam inches across the entrance door very, very slowly.
Continuity mistake: At the Miami resort, when Goldfinger walks towards the card table, on the far left you can see Bond and Leiter standing watching Goldfinger in the background. In a close up shot of Bond and Leiter we see Bond reaching for a towel and putting it on his shoulder, but then in the wide shots there is no towel over his shoulder and he never moves.
Continuity mistake: Bond is in bed with Jill. He goes to get some ice and she faces forward at him. A shot later she is facing upwards and her head is tilted sideways.
Continuity mistake: When Oddjob throws his steel-rimmed hat to kill Tilly, you can see the hat falling in a downwards direction, yet it still manages to hit Tilly on her neck.