There hasn't been a Friday the 13th game since LJN's occasionally terrifying (but mostly just annoying) NES adaptation of the slasher film franchise from 1989. If EGM and Friday the 13th creator Sean S. Cunningham are to be believed, that may change later this year.
Cunningham dished to EGM late last week that a new game based on the film was in the works at "an experienced game studio" that, for the time being at least, is going unnamed. The game is targeted for an October, 2015 release, and sounds as though it will be aiming for a multiplayer-focused take on the predator/prey gameplay most recently utilized in Alien: Isolation. Perhaps Turtle Rock's Evolve might be a more apt comparison, as the game will feature a team of "resourceful survivors" going up against the series' unkillable, hockey-mask sporting big bad, Jason Voorhees, in an asymmetrical cooperative/competitive multiplayer environment.
The game seems timed to coincide with the upcoming Friday the 13th TV series (and a new, 13th film, which Cunningham says is in the planning stage). Though it's been 26 years since the last game in this series, there's been a recent uptick in similarly styled horror games of late. Apart from the previously mentioned Alien: Isolation, Supermassive Games' Until Dawn is basically a single-player slasher flick, and the Kickstarter-funded Last Year sounds almost exactly like what this Friday the 13th game intends to be, with some of the game's concept art very clearly calling back to Jason's iconic look.
The EGM story notes that the studio working on the game will be "announced in the coming weeks." In case you want to revisit what Friday the 13th games used to be like without actually having to play one, you can always go watch this classic episode of Spookin' With Scoops.