Factual error: Diamonds, being pure carbon, would burn in the cremation of the body containing them. Cremation temperature is about 1,000 degrees Celsius, diamonds burn at about 850.
Revealing mistake: When Bond hoists Mr. Wint overboard with the bomb tied to his coat-tails, Mr. Wint is not Bruce Glover but a stunt double.
Continuity mistake: Tiffany is wearing a red and purple bikini top cover on the oil rig. But in the last oil rig scene where she shoots the machine gun from the tread of the crane and falls off the rig, her top changes color to brown and red. No purple at all.
Continuity mistake: When Bond, in the casino, takes the envelope out of his pocket, he holds it with his right hand, with his fingers close to the upper end of the envelope. However, in the next clip he is holding it much further down and with his fingers in a different position.
Answer: Bond's answer to Felix at customs is "alimentary, Mr. Leiter". As in the alimentary canal of a human.