Other mistake: When Robocop is being repaired by the homeless guys, you can see clearly his stomach going up and down as he breathes. If he's mechanical he shouldn't be breathing, and even if they kept that bit of his innards, he's covered in a titanium shell so we shouldn't be able to see anything moving anyway.
Other mistake: When Lazarus and the head of security concepts are talking about removing RoboCop's emotions, the other doctor speaks up and says that they could install a "microneuro barrier" that would block his emotions. He pulls the bag containing the chip from his lab coat without even looking at the pocket, conveniently. Seems a little unbelievable that someone would carry around a single purpose chip and know exactly where it was if RoboCop hadn't previously been giving them any problems.