Abraham Lincoln: Vampire Hunter. (He has also directed several installments in Russia’s most successful live-action film franchise, a series of holiday-themed comedies unreleased in the U.S.) As a producer, though, Bekmambetov is more innovative. He’s a low-key pioneer, running thriller plots on a new operating system with his so-called “Screenlife” movies. These projects, like and Searching, tell their stories entirely through computer screens, an extension of the first-person effect seen in found-footage horror. Watching a missing-persons case or a vengeful ghost story unfold through streaming video, chat boxes, and search results isn’t necessarily a more “realistic” window into genre filmmaking; like found footage, it requires different forms of contrivance in pursuit of a particular effect. But the surprisingly successful technique has a way of teasing out subtleties of behavior not available to traditional narrative, and immersing audiences in familiar online habits, on a much larger screen, before jolting them into unease.