Continuity mistake: When the horsemen arrive to where Domino is tied up, the watcher has a cigarette in his lips, but it appears in his hand in the following shot. (01:44:25)
Revealing mistake: When Domino and Bond escape horseback riding, a man fires a rifle, but no smoke comes out despite the bang being heard. (01:47:07)

Revealing mistake: When Bond rescues Domino from being sold, and she hops on the horse, Kim Basinger is replaced by an obvious stunt.

Continuity mistake: Domino grabs the pendant with her hand positioned sideways. In the close-up, the palm of her hand is face up. Then it swaps to the previous position.

Continuity mistake: When Nigel falls in the water, his hairstyle changes between shots. Sure there's a two seconds shot in between, but that would mean that Nigel had that short lapse to let go his suitcase, bend his head backwards, comb his hair and grab onto his suitcase again... Impossible.

Revealing mistake: During the shoot-out, all the baddies' heads and hands are bare, except for the one that gets burnt alive, who wears very obvious fireproof hood and gloves.
Continuity mistake: When Bond exits the tunnel 2 workmen gather on the right side. A shot later one of them is now on the opposite side.
Continuity mistake: When Largo introduces himself to Bond the toothpicks on the counter disappear.
Continuity mistake: During the massage, Bond and Domino talk about Mr. Largo. Behind them is a woman who stands up and leaves, leaving the place empty. Shot changes and the place is suddenly packed with women. (01:02:07)
Continuity mistake: When Bond is about to massage Domino he says he's never seen her before. Both of her arms are extended and fall down over the stretcher, but when the shot changes the left arm is bent below her head.

Continuity mistake: After fighting against the shark, Bond swims upwards and there's a lady holding a fishing rod. The position of her hands changes between shots.
Continuity mistake: When Bond meets Fatima he says he wants to fish. Her hair is behind her shoulders in the wide angle, but over her shoulders in the close-up. (00:47:14)

Revealing mistake: After Nigel and Bond meet and stop walking, there's a group of bystanders behind staring at the shooting of the movie.
Continuity mistake: After Fatima dies, the position of her shoes changes between the first and second shot.
Visible crew/equipment: After the motorbike jumps over the car, a close-up of the car's rim reflects the camera rig.

Continuity mistake: When Bond closes the door to stop the shark from entering the cabin, he uses both hands. A shot later the right one disappears.
Continuity mistake: Largo's men leave the fishing boat in full on wetsuits to recover the warheads but the men who retrieve them are wearing sleeveless wetsuit tops and wetsuit shorts, also the wrong wetsuits for the colder UK waters.
Continuity mistake: During the title sequence two villains are playing an implausible-looking chess game which includes two black bishops both positioned on black squares. Black takes white's queen. A moment later we see the player putting the taken queen aside but numerous pieces have moved, including two knights and several pawns. (00:03:05)
Revealing mistake: Before Bond throws the urine specimen in Lippe's face during their fight at the health farm, look at the beaker and you can see a tablet dissolving in the water.

Revealing mistake: When Fatima is blown up by the explosive charge, there is a wide shot of a dummy standing in her place.
Chosen answer: Neither is a professional dancer. Having studied dancing some thirty years before does not mean someone has retained the same level of skills. As you mentioned, Connery was in his 50s by that time.
raywest