Revealing mistake: After the twins shoot the black Oldsmobile, it hits a barrier and does a spiral, and lands on its roof. That's impossible because the car's fender would have been torn off. It would have skidded a sharp right and went under the semi that Trinity was driving by. That indicates that there was a ramp to lift the car off the ground and do the spiral.
Revealing mistake: When the Keymaker closes the door with the Smiths firing at him, if you play it slowly you can see that no bullets actually hit him, as they would have caused bullet holes and blood stains, but his shirt stays perfectly fine right up to when he shuts the door.
Revealing mistake: When Smith is talking to Neo in the park after seeing the oracle, the direction of the sunlight over Smith doesn't match the shadows in the park.
Revealing mistake: When the Key-Maker shuts the door in the corridor-scene while being shot at by Smiths, one dead Smith-body lies in the corridor, the one that Neo knocked through the crown of other Smiths. When you look closely at the body of the Smith, you can see his right foot slowly moving.
Suggested correction: Who says he's dead? It just got knocked down.
Revealing mistake: In the freeway chase scene, look carefully at the interior of the cars that get flipped over by the Agents and the Twins. All of them are completely empty, meaning that either they are remotely controlled or they are simply towed by a hidden vehicle. This is most obvious when they are flipping in slow-motion.
