Continuity mistake: When the butler tells of Harry Lime's death, at the start of the conversation he can hardly speak English. As the conversation goes on, his English gets better and better, until at the end it's perfect with just an accent.
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Suggested correction: He is reluctant to speak English at the start possibly to avoid trouble but later decides otherwise.
Other mistake: Near the end, Harry Lime is trying to escape through the sewers of Vienna. There is an opening to the street; Harry puts all his fingers through the holes, trying to lift the metal plate, but Harry has a pistol in his right hand; there is no way he can poke all his fingers through with his right hand with the pistol in it.
