Continuity mistake: During the escape from Pescendaro, the Terminator shoots the T-1000's head and the T-1000's head splits apart. When this happens Doctor Silberman can be seen nervously in the background. The shot then cuts to the Terminator, John and Sarah and then the shot cuts back to the T-1000. However, when the shot cuts back to the T-1000, Doctor Silberman isn't there any more. (01:00:00)
Continuity mistake: At the hospital, a guard opens a door with his club, takes it away and looks inside. From a different angle the club is still on the door.
Continuity mistake: When Dyson enters the vault, the door is open different amounts between shots.
Continuity mistake: The position of Sarah's left hand clenched on the playground fence is higher-than or parallel-to her right hand, depending on the angle.
Revealing mistake: When the cop by the vending machine is about to be killed by the T-1000, the back shot of him reveals he's been replaced by an obvious mannequin. His perfectly trimmed hair along the nape is now long and messy, and a long stitch appears along his sideburn and down to the neck.
Continuity mistake: When the Terminator arrives on earth, his position differs between the first and second shot, with his left leg protruding more/less and his back crouched/slightly raised.
Audio problem: When Myles is shot at in his home, after he ducks, the window behind him breaks and smoke comes outs as if a bullet had gone through, but no sound is heard. (01:32:50)
Audio problem: When Terminator lifts John off his bike and places him on the chopper, John's cry is heard but his mouth isn't moving.
Continuity mistake: When the Terminator's chopper breaks through the gates of the reservoir, they sound as if they crash against the fence, yet a frame later, from the angle in front, the gates are open wide and still.
Continuity mistake: John enters the canal, passes by a bridge and pulls over 200 meters ahead. From his POV, the distance from the bridge is merely 50 meters. (00:35:00)
Continuity mistake: During the truck scene, when the truck has just come off the bridge, notice the sign on the right hand side says "24 hours." Seconds later the sign seems to have mysteriously disappeared.
Continuity mistake: During the pool fight scene, you can see there's an orange ball next to the upper left pocket. In following shots it's no longer next to it and it has a dark ball in front.
Revealing mistake: In the scene where the Terminator has just broken Sarah out of the hospital and the T-1000 has been shot off the back of the cop car you can see his "metal" arms bending as he rolls across the pavement, and as he gets back to his feet you can see where his real hands are.

Continuity mistake: When Sarah Connor throws the keys to a male orderly to distract him, Dr. Silberman is standing right behind him. Two shots later, we see the doctor several feet away. The time lapse between the two shots was only one or two seconds. (00:56:25)
Continuity mistake: At the steel mill, the T-1000 points his finger at Sarah and tells her to call John. The style and position of the loose hairs around her forehead change between frames.

Continuity mistake: When John stops his bike at the canal, a supermarket trolley and a flat tire appear behind him. (00:35:00)
Chosen answer: Two possibilities. 1: The Terminator is emotionless, so the killing isn't personal, but rather what it's programmed to do. 2: Sarah Connor's plan to kill Miles Dyson to stop Skynet's creation.
Captain Defenestrator
It's also a sly nod to another famous tagline, Jaws: The Revenge. "This time it's personal."
BaconIsMyBFF