Other mistake: The password for the money has 5 letters, but later Vesper puts in 6 letters; her name Vesper, the password, has 6 letters.
Suggested correction: Bond definitely pushes 6 buttons to enter the password the first time. 1H 10M.
Continuity mistake: After Bond has won the poker game at the Bahamas, he asks for the valet ticket for Dimitrios's car. The amount of liquid in Dimitrios's glass decreases between shots without him drinking any. (00:35:30)