Visible crew/equipment: After the Terminator arrives in 1984, he begins to walk over to a short concrete wall and looks at Los Angeles over it. A second before the shot ends, the shadow of a camera is visible to the left of screen. (00:05:05)
Visible crew/equipment: In the police station, you see all the police officers running to get the automatic weapons. There is one shot where a red dot is seen to be following one officer (and it's sometimes on his back). No cops are facing the back of this cop, the Terminator is not around this part of the station, so it must be off the camera. (00:59:10)

Visible crew/equipment: When Kyle and Sarah escape in the pickup truck, the Terminator chases after them on a red motorcycle. The camera does lots of shots of what's behind Kyle and Sarah and what's ahead of them. When they overtake a truck, you can see headlights following and shining on the back of their pickup. These are the camera crew's lights, as the Terminator's motorcycle is too far away, and previous shots have shown there are no other vehicles around them. (01:21:40)

Visible crew/equipment: When the Terminator is blown up inside the gas truck and you think it is destroyed, Linda Hamilton and Michael Biehn begin to hug. In the shot where the Terminator begins to rise from the destroyed truck, look just a little to the right of Linda's head and you'll see a mans head pop up and his hands pull down on a lever that makes the Terminator rise up. (01:30:50)

Visible crew/equipment: When Sarah and Kyle have run into the factory, the Terminator is breaking through the armour plated door. As the Terminator comes through you can clearly see the two operator guys crouching behind the model. (01:32:45)
Visible crew/equipment: As the Terminator moves his right arm whilst in the press, you can see a crew member, behind the Terminator, move in the area of the picture where its arm was. (01:34:05)

Visible crew/equipment: At the end, when Sarah puts her glasses on, a light screen is reflected in them. (01:38:45)






Answer: Gonna be totally honest... that might just be nothing more than a simple continuity error. They accidentally made a phonebook prop that didn't match up with the locations where they shot, and assumed most people wouldn't notice or care. (And to be even more honest, I never noticed it until I saw this question today.)
TedStixon