When Jacques and Yasmin are reciting from Romeo and Juliet, Yasmin puts her hand on Jacques face. In the next shot, her hand is nowhere on his face but goes back to being on his face in the shot after.
The bomb planted outside of the Gambrelli house is set to detonate within four minutes, but it only takes 48 seconds in the film for the bomb to explode - not that it's in real time and it would take that quick for four minutes to go by so quickly.
Commissioner Dreyfus' non-recognition of Maria Gambrelli during the encounter at the Gambrelli home. Dreyfus considered Gambrelli a prime murder suspect in A Shot in the Dark, but she looks different (in fact, this is probably a joke on the fact she's played by a different actress).
When Dreyfuss discovers he is standing in shallow water, his clothes are wet and become partially see-through. Because of this, it's obvious he is wearing a wetsuit under his clothes. It's the same kind of scuba suit used earlier in the film.