To go old school...

The Texas Chainsaw Massacre on Atari, where you play as Leatherface and your goal is to refuel your chainsaw and kill everyone.
Halloween on Atari, where you play as Laurie and you have to find what looks like a nightstick to attack Myers with.
A Nightmare on Elm Street for NES, where you play as some dude fighting all sorts of dumb shit as you look for coffee and loud radios to stay awake.
Friday the 13th for NES, where you play as a camp counselor trying to light fires in all the cabins while zombies attack for some reason.

Then we have the upcoming Friday the 13th where you play as the counselors OR Jason and try to escape or kill everyone. I can't wait to see how that one turns out.