Continuity mistake: When Neo lands on the ground after being shot on the roof, there's no sun/shadows, but when the agent comes up to him straight afterwards, there's a very defined shadow behind Neo. (01:42:10)
Revealing mistake: When Neo is being trained in the "jump program" Neo jumps and fails to make it across. When he is closer to the camera, the wind blows up his shirt and you can see the black safety harness on his abdomen. (Easier to view in slow motion). (00:54:35)
Continuity mistake: When Cypher is making the deal with agent Smith, he cuts off a big piece of steak. A few seconds later when he actually puts it in his mouth, it has changed shape and shrunk considerably and changed from medium rare (mostly red) to medium (pink in the center). (01:01:20)
Visible crew/equipment: In the "Desert of the Real" scene where Morpheus is sitting on the chair while explaining the Matrix to Neo, at a certain point he raises the head to the sky and in that moment the boom mic is visible reflected on his sunglasses.
Revealing mistake: At the end of the movie when Neo bursts into Room 303 and Agent Smith is there, watch the second shot. The overhead view shows a blank-firing shell ejecting (crimped end). (01:57:45)
Continuity mistake: At the beginning of the film, when Neo is having the conversation with his boss about his arrival time at the office, when the camera is on Neo, his hands are behind his back, when the is on his boss (showing Neo's back), Neo's hands are in front of him. They're all instant cuts - no time for him to move. (00:11:35)
Continuity mistake: After the helicopter smashes into the building and Neo saves Trinity, they look at each other and you can see smoke from the building. After that, Morpheus is talking to Neo. You can see several shots of him and Neo talking and behind them, the building and its windows are still intact. (01:46:50)
Continuity mistake: When the guard asks Neo to remove any metallic items after he sets off the metal detector, Neo's coat is open, and he's just got a T-shirt on, with no guns strapped to him. In the closeup, all the guns are visible. Most are down the side, but we should have seen the pistols in his belt from the earlier angle. If nothing else, with his coat open as much as it was, the guard should have spotted the weapons even before he opened it further... (01:37:00)
Continuity mistake: In the beginning of the movie, where Trinity runs from the agents, she jumps towards a window. She turns slowly in the air, eventually facing upwards when she crashes through the window, no longer turning. From the inside shot, however, she comes through it face down (so she can roll forwards down the stairs). (00:04:55)
Suggested correction: She isn't facing up, if you look the camera does a 180° around Trinity, and also if she appears to be facing the top of the screen, she's actually still looking at the street which in this moment is... well, above the screen.
Revealing mistake: When Agent Smith is fighting with Neo in the subway, Neo's back is against a pillar. The area of the pillar which Agent Smith punches away with the first punch is visible before Neo ducks, and then he punches it away. You have to look carefully, because it only appears for a very short period of time. (01:50:35)
Visible crew/equipment: In the final scene where Neo exits from the phone booth and wears his sunglasses some crewmembers are reflected on them.
Continuity mistake: In the Oracle's house there is something wrong with the glasses in the cupboard behind Neo. When he's looking at the children, there are three small glasses in front, a big one behind and something else beside them. In a shot from below when the boy hands the spoon to Neo, the big glass has now moved to the left of the small ones. (01:08:25)
Continuity mistake: When Neo tells tank that they need "Guns, lots of guns" he cocks the MP5 that he picks from the rack. It is matte black, but when the camera focuses in, it is shiny and reflective. (01:34:55)
Revealing mistake: After Morpheus and Neo are loaded into the "Jump Program" you can see the Green Screen on the top right corner of the scene. This appears right before Morpheus jumps across to the other building.