trancers (1985)

"I've got your warrent right here!"
Los Angeles in the 23rd Century and Jack Deth (Tim Thomerson) is a trancer hunter. He's on the trail of Whistler (Michael Stefani), leader of a quazi-religious cult, that turns people into hypnotised zombies, known as trancers. Whistler manages to give Deth the slip and travels back in time to the 1980s. Jack is sent back to prevent Whistler from killing his ancestor amongst others. With the help of Lena (Helen Hunt), can Deth end Whistlers reign of terror.
Think Bladerunner with zombies rather than robots. Add a Terminator twist. Then lower the budget and whammo - you have Trancers! Better than I made is sound, this actually uses a neat script to transend its low budget origins.