Continuity mistake: As Kyle and Sarah hijack the black pick-up truck, the bandage on Kyle's hand is missing.
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.
Continuity mistake: In the Tech-Noir bar scene, as Sarah is seated at the table and knocks the Canada Dry bottle to the floor, right when she leans down to pick it up, a guy sporting a white suit, white tie with three black tie clips and red pants begins passing behind her from the right side of the screen. In that exact same moment, while she's still bent over retrieving the bottle, the reverse-angle shot captures that same guy in white suit and tie, now dancing in front of her table as Arnold walks up scanning the area. (00:34:20)