Visible crew/equipment: At the funeral of Tsi and Keene, when Jeremy is talking to Jack and the TV camera, we see the lighting rig reflected in Angela's sunglasses. There is also someone standing in front of the rig. (02:44:05)
Other mistake: When Keene is hanging from the pipe in the shaft, he falls from it, and in the first second we see him falling naturally, in a 'standing' position. The camera angle changes, and he is now falling in a 'lying down' position. As well, when he hits the bottom (the nuclear cooling water), he doesn't splash further than a foot or so into the water. Falling from about 100 feet, he'd certainly splash down deeper than that. (02:33:40)
Continuity mistake: When Jack is alone in the desert and the girl's Jeep stops nearby, he is positioned towards the right-front corner of it. But when he approaches it, he walks into the scene from the left-front corner of it. There's no reason he'd walk way around the area - he is suffering from the heat and would walk as little as possible, in a straight line to it. (02:02:35)
Factual error: When Jack escapes from the helicopter explosion, the chopper is destroyed. When Jack walks back, the two pilots' bodies are sitting in their seats, apparently unscathed. The whole rest of the chopper is missing - doors, windshield, dashboard... Yet they weren't blown to bits? (01:42:40)