Andrei Tarkovsky’s final Soviet feature is a metaphysical journey through an enigmatic postapocalyptic landscape, and a rarefied cinematic experience like no other. A hired guide—the Stalker—leads a writer and a scientist into the heart of the Zone, the restricted site of a long-ago disaster, where the three men eventually zero in on the Room, a place rumored to fulfill one’s most deeply held desires. Adapting a science-fiction novel by Arkady and Boris Strugatsky, Ta...