Lummie

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 Morpheus is fighting the agent in the bathroom of the building they were trapped in, the agent punches through a brick wall, yet next time we see the wall, there is no damage. (01:24:12)

Continuity mistake: When Agent Smith is interrogating Neo, after Smith has sealed Neo's mouth shut and he is backed into the corner, when the camera cuts back to Smith you can clearly see a reflection in his glasses of Neo still sitting down in the chair. (00:19:50)