Continuity mistake: In the cemetery scene when the Terminator uses a bazooka to fire a missile at the TX, the shot that shows the TX being launched up in the air and hitting a gravestone should have shown the car used by the TX and the road where the car was parked. In the next shot, when the TX gets up and starts to run after the hearse, the road reappears but not the parked car.
Continuity mistake: JC's leg was crushed by the T-X. After emerging from the elevator, he limps on the wrong leg.
Continuity mistake: When the T-850 walks around at the gas station, shopping, he fills up the shopping basket, and one of the bags of chips can't fit in the basket. However in the next clip, the basket is half empty and there is plenty of room for the two boxes of candy he grabs at the counter.
Continuity mistake: In the scene just after Kate Brewster's dad has been shot he says to go to his office. On the way there you can see his jacket is undone and you can see his shirt and tie. Yet when they enter the office it shows him sitting down with his jacket neatly buttoned up. For a guy who just got shot and is running from machines, I doubt he would worry about buttoning up his jacket.
Continuity mistake: When Kate gets the phone call in the middle of the night to goto the pet clinic, her phone is a white+blue Nokia 8310. Later on when she is calling from the back of the pet truck and it loses reception and the camera goes onto the phones, its now an all blue Nokia 51xx (I think) series phone.
Visible crew/equipment: Right after the ambulance runs over Arnold's motorcycle a shot of him hanging on the crane hook is shown. You can see the safety cable attached to the left of his belt.
Continuity mistake: As the hearse comes out from under the truck while they are trying to get rid of the Terminatrix, you can see that the windscreen is intact. But as they drive down the hill it's missing.
Continuity mistake: After the first two fireman jump out of the fire truck, Arnold climbs in and says "Get out" to the other fire fighters. When the next two fireman jump out, the first two are not seen on the road behind them. Also, when Arnold changes gears on the fire truck none of the four fire fighters are seen on the road.
Factual error: When Arnold is done shooting at the cops in the graveyard scene, there are birds singing in the background. No way that any birds would be left in that area (not to mention singing) after at least 15 machine guns have been firing for more than 2 consecutive minutes, not to mention the cop car exploding.
Revealing mistake: When John, Kate and the Terminator are in the Winnebago, there is a shot that's facing Kate where John says to her that they're going to pull the plug on Skynet and that the bombs won't fall. In this shot, look at John's hair. The green screen is reflected onto it. It is visible throughout the rest of the scene.
Continuity mistake: In the scene were John, Kate and the Terminator find the RV, when John says to Kate, that Scott's death wasn't her fault, she is sitting in the passenger seat of the broken down Hearse. Then in the next shot Kate completely disappears and reappears when the Terminator mentions the TX is going to kill Robert Brewster.
Continuity mistake: In the scene at the gas station, Arnie removes the iron bar from the truck's doors and discards it. The truck drives off and is seen to have no bar holding the doors closed. There then follows a lengthy conversation between John and Kate. At the end of this conversation the truck is seen driving down a slight hill just before the scene changes to Scott's apartment- look closely and you'll see the iron bar on the doors, despite Arnie having removed it.