Feeling like the world gets more unmoored from reality every day? Philip K. Dick has your back.

Mr. Dick, the science-fiction writer whose novels inspired the movie “Blade Runner” and the TV series “The Man in the High Castle,” was long obsessed with exploring the blurred lines defining what is real and what it means to be human—alternate worlds, drug-induced illusions, artificial people who seem more real than the real thing. And his obsessions are about to get another video outlet: “Philip K. Dick’s Electric Dreams,” an...