Wow, this one's a killer. I would guess Kamran Shah in Living Daylights, since he got the key to his cell from Bond, but he only hammed it up while in the jail, which wasn't most of the time.
(Continues to drum fingers, waiting for inspiration to strike...)
Keep waiting, Major. You missed the new part of the clue---someone else died in the same manner. Unless you have a new Director's cut of TLD, he said smugly, yet in the spirit of hearty competition, I cannot recall Shah's demise in the film.
So, reminder to all: this character was dead by the end of the film.