Friday the 13th is a game developed by Atlus and released by LJN in 1989 based on the popular ongoing series of the same name.
According to the manual, the undead killer, Jason Voorhees, has returned to Crystal Lake, and is wrecking havoc on a nearby summer camp. It is up to six camp counselers to stop Jason's rampage while fighting off zombies, bats, wolves, and other foes. At first the counselors are armed only with stones. These are very weak weapons, especially as Jason can show up randomly.
References to the movies
While not based off any film in the Friday the 13th series in particular, it pays homage to many of these films in different ways.
The intro animation is based off artwork for Friday the 13th: The Final Chapter.
Jason's hidden cabins in the woods are a reference to his hidden dwelling in Friday the 13th Part 2.
Acquiring a burning torch will cause Jason to retreat from an attack, a reference to one of the films where he was burned by fire and ran off.
Also from Friday the 13th Part 2, Jason had room dedicated as a shrine to his deceased mother, Mrs. Voorhees (the main antagonist of Friday the 13th). Just like in the movie, her decapitated head is prominently displayed in the center (which is a miniboss in this game). One of the items that you can access after defeating her, a sweater belonging to her, is also based on how it was used in the movie by Ginny. In the game, the sweater reduces damage by 50%, which is a reference to how Jason hesitated to attack Ginny while she was wearing it, mistaking her for his mother.