The rear windshield changes a couple times in damage during the car chase.
The fender and hood of the taxi are damaged, but after flipping the right side up, it's been mended.
Clouseau's arm moves when he falls backwards in his car.
The taxi that initially flips upside down has no bomb under it.
Around 00:34:45, despite of acting in a french's museum, there is some big grammatical and spelling mistakes on the wall : it's written "Un superb detective que les criminels se m'efient". It should be "Un superbe détective dont les criminels se méfient"
As the taxi is sliding down the road on its roof, the "bomb" attached to the car falls off when it flips upright after hitting yellow construction container.
No flares are seen coming from the guns being fired at Sleigh, when he's in the alley with Bruno and one of his goons.
When Mr. Chong's hut collapses, there's obviously no one inside.
At the end of the movie when Dreyfus accidentally sets his desk on fire burning Clouseau's contract, Francois and Sleigh go to grab the emergency fire hose and you can clearly the vague reflection of a crew member in the glass window.