Continuity mistake: Clouseau gets his left foot stepped on by Dominique Ballon causing him to hop around holding his left leg. A shot later he's holding his right foot.
Other mistake: When Dreyfus crosses his arms, that position he does is impossible for him to have stabbed himself. He'd have had to raise his right arm up with the letter opener pointing directly towards the left side of his chest then thrust downward.
Other mistake: When Clouseau's in the nudist camp garden he's mostly dry. Somehow so is the guitar he was carrying when he fell into the pond.
Continuity mistake: Maria rips Clouseau's suit, and he tells her not to worry and starts pulling it back up. The shot cuts and it's back down again.