Visible crew/equipment: In the freeway chase scene, when the Keymaker and Trinity are on the bike flying off the truck, you can see under the Ducati logo some sort of scaffolding and a crew member standing there as to film the "slow motion" shot. The reflection is clear, the bike isn't moving at all, nor reflecting the highway.
Visible crew/equipment: When Morpheus is giving his "Three captains, three ships" speech, after Niobe asks if "What if you're wrong?", as Morpheus responds, the roof of the studio and the stage lights are visible in his glasses.
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.
Continuity mistake: In the freeway chase, Agent Johnson jumps from an overpass onto the top of the truck carrying Morpheus and the Keymaker. Just before the truck goes beneath the overpass, a freeway distances sign (Whipple Ave ½, Woodside Rd 1-½, Marsh Road 3-¾) is briefly visible. As the truck emerges on the other side, the same sign appears again, behind Johnson, to the right.
Revealing mistake: During the car chase scene 1 of the twins shoots through a car window causing it to flip. If you look closely you can see the stuntman wearing his helmet. (01:25:55)
Continuity mistake: In the freeway chase scene, look carefully at the Ducati carrier truck. After the truck's driver's body is taken over by one of the Agents and the camera shows the outside of the truck, you can see that it is a completely different truck, carrying a red shipping container instead of the motorbikes.
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.
Continuity mistake: When Neo is talking to the Oracle, in the close up shots of her, her temple is resting on her fist. On the shot behind, her fist is on her cheek.
Continuity mistake: During the highway chase, just before one of the twins ghosts into Trinity's car, during the shot with the flipping car, the traffic behind Trinity's car is missing.
Continuity mistake: On the highway, while Trinity jumps from the trailer on the motorbike, the sun changes between shots.