I'm looking for a TV show from the 90s (I think), where a woman puts on glasses and uses these glasses and a computer to go into an alternative/parallel universe where she is chased by some man. I think it is an American show.
This sounds like my vague memories of VR.5. I believe the protagonist was being chased/stalked by some malevolent person in the VR world. Do you recall if phones were used to enter the "alternative/parallel universe"? That was a key element in entering the surreal Virtual Reality in VR.5.
The TV Show's name is Parallel Universe. Refference: http://en.wikipedia.org/wiki/Parallel_Universe_(Red_Dwarf)