Continuity mistake: After the Endoskeleton emerges from the diesel fire look at his teeth. They're clearly metallic when he stands up and chases after Sarah and Kyle, then when he enters the factory his teeth are white enamel. Then when he's fighting with Kyle they're metal again and finally they turn white after he's blown apart. (01:31:05 - 01:34:20)
Continuity mistake: In the factory, when Reese yells at Sarah to run and then turns and starts bashing at the Endoskeleton with his metal pole, if you watch carefully you can see that his fourth blow snaps one of the head supports. Yet we see a closeup of the head during his fifth blow, and the support is fixed again. (01:31:14)
Continuity mistake: When the Terminator is crawling after Sarah Connor at the end of the film there is a close up of the endo-skeleton and the hydraulic cables from around his shoulders are missing. (01:37:15)
Continuity mistake: When Arnie says "I'll be back" and leaves the police station he throws both the doors open as he leaves one of them falls back into place but the other one stays open. When he drives his car through the window both doors are closed.
Continuity mistake: When Reese and Sarah are fleeing from the Tech-Noir nightclub, right when the Terminator jumps on the car they're driving away in his hairstyle magically changes.
Continuity mistake: When the Terminator is washing his face in the motel room after he was wounded during the chase, the tap's valve is showed in different positions between two shots.
Continuity mistake: The number 1874 is on supposedly different patrol cars driven by the T-800 and the police officers.
Continuity mistake: As Kyle and Sarah hijack the black pick-up truck, the bandage on Kyle's hand is missing.
Suggested correction: No, the bandage is still on his right hand the whole time. There's a few moments you can see it when he's pulling the man out of the truck. There's no camera cut when he starts to back up and you can see a little bit of the white bandage. But with the shadow and the way he's holding his hand, it could look like it's not there.
Continuity mistake: As the T-800 starts chasing Reese and Sarah in the garage, there are a few shots of the Cadillac's windshield getting a hole blown in the upper right corner a few times, but there is only ever one hole.
Continuity mistake: When Sarah rolls Kyle's body over and looks at him, his face is covered in blood and his eyes are open. When Kyle is later zipped up in the body bag, his face is clean and his eyes are closed.
Continuity mistake: We see the Terminator remove his left eye in the hotel room and it leaves a wound about the size of the sunglasses lens, in most face shots after that while he is wearing the sunglasses the wound has disappeared and the skin around the eye is perfect when we see that side of the face.