Continuity mistake: When in the desert after resetting the switch, the Terminator breaks a car window with some glass still there. Camera does an instant cut, and the broken glass has changed. (01:13:25)
Continuity mistake: When the T-800 is walking down the corridor at Dyson's workplace, how far he is down the hall keeps changing depending on the shot. (01:38:40)
Continuity mistake: At Cyberdine, Gibbons' chair position differs between the shot when the second guard arrives and after he finds him laying on the floor.
Continuity mistake: While in the police car, escaping from the T-1000, when Sarah says "John, it was stupid of you to go there", her ponytail is either brushed and neat, or messy and all over her shoulder, depending on whether the shot is from behind or the front respectively.

Continuity mistake: When the T-1000 is shot down next to the video games arcade, his face expression changes between frames. (00:32:25)
Continuity mistake: When the T-1000 throws the driver off the truck and chases John's bike, the buildings on the right are a brown parking lot and a modern white building. In a couple seconds, the truck keeps swapping from being by the middle of the white building or way behind, next to the brown parking lot approaching the white building. The position is inconsistent many times.
Continuity mistake: Arnie shoots the truck's tyre right before it smashes against the pillar. From the truck's point of view Arnie and the kid disappear, only to reappear one second afterwards.
Continuity mistake: The T-1000 has the gun holster on his left side and takes the gun out with his left hand when the guard in the psych ward hits the alarm. A few scenes later when the T-800 (Arnie) asks Sarah to 'come with me if you want to live' the T-1000 walks through the cell doors, the holster is on the right hand side and the gun in his right hand. (01:10:00 - 01:12:00)
Suggested correction: The T-1000 can change shape at will so it is safe to say the he changed hands with the gun and switched its holster to suit. The T-1000 uses both hands throughout the film to hold and shoot his gun.
I am not sure if the holster has changed to his right-hand side at all - isn't that just his walkie-talkie, which was there all along? Very few clear shots of his belt in that sequence though. I hate speculative explanations but if it's just the gun changing hands, that doesn't sound too serious... Could just be for opening a door.
Continuity mistake: After the first fight in the steel mill, as the T-800's arm ends up in the gear the black glove on his left hand is torn in many places, revealing parts of the endo-skeleton hand. However, later when the T-800 frees himself from the gear, he is wearing a black glove with no tears on his left hand.
Continuity mistake: In the Pescadero hallway, the T-1000 passes by Dr. Silberman twice, the second time while firing his pistol.
Continuity mistake: When the cop by the vending machine is killed, his head is tilted to the left in the front shot, but straight in the side angle following.
Continuity mistake: When Sarah spits out the paperclip to start her escape, the paperclip is unfolded too quickly between shots.
Continuity mistake: Dyson is shot at and falls on the floor, an instant later he is lying several meters to the right over a carpet.

Continuity mistake: When the Terminator smashes the driver's window of the blue station wagon, there is a large section of glass at the top of the door that is stuck in the runner of the door. In the next shot as the Terminator is closing the door, this same section of glass is now missing. Not enough time has passed in the shots for it to disappear and there's no sound of it dropping. (01:13:25)
Continuity mistake: During the final battle, the T800 at one point is trapped but manages to free himself (losing one arm in the process). He comes back to slice the T1000 in half with a metal bar. The T1000 kicks backwards at him (karate-style) - and the metal bar is flying away! Yet in the following shot, it is still there embedded in the T1000.
Suggested correction: It doesn't fly away. It is wrestled out of the T-800's hands as the T-1000 turns around because it's stuck in the T-1000's body.
Like, to the top left of the frame? Possibly. Depends a bit on playback speed too.
Continuity mistake: After the T-800 breaks the window in the mall, a blonde girl in a white and blue shirt is on the left but in the next shot is on the right.
Continuity mistake: When the helicopter smashes into the back of the police van the front gets completely smashed in and crumples. Next shot is from the side - the helicopter falls to the ground and the front is intact, then smashes to pieces on impact.
Continuity mistake: When Sarah uses her shotgun to shoot the T-1000 in the eye, the first camera angle reveals that the shot has disfigured his head forcing the tissue around the eye to be pushed outwards as a result. In the next shot, when we can see Sarah through the hole as it 'heals', we can see that the head is already in its regular shape as the hole fills.
Continuity mistake: As the liquid nitrogen tanker crashes into the SWAT truck, the semi's right headlight is destroyed, but a second later it's back in position, and no damage to the nose of the semi at all.
Continuity mistake: After John gets off the bike, he looks at the Terminator's back and sees the holes in the jacket. John puts his finger in one hole, but when the view changes the finger is in another hole.