Continuity mistake: When Bond is looking at the Drax aeroplane in Rio, he sees Holly through the telescope. You can see she has both hands on the telescope, but when Bond puts his left hand on hers, the camera cuts away and she has only her right hand on the telescope.
Continuity mistake: Chang watches Bond leaves the room in which he found the safe. When Bond walks away from the room, we see Chang's real profile standing up, but in the next shot he's back crouching in the corner again.
Continuity mistake: When the Minister of Defence sees Bond and Holly making love in the space shuttle, he leans forward on his chair. In the next shot, he is sitting straight and leans forward a second time.
Continuity mistake: When one of the NASA controllers says "We have audio visual" in the control room, look at the Mission Control Director. You can see that he has his hands clasped together, but in the very next shot his hands are separated.
Continuity mistake: When Drax throws two pieces of meat at his Doberman Pinschers, one piece lands by the leg of one of the dogs. But when Drax clicks his fingers to signal the dogs to eat the meat, the piece has moved in front of the dog's face.