I think one of these is long overdue. I've been thinking about this for a few years now. Can anyone else image what a new Friday The 13th game could be like?! This is a list of what I would love to see if Jason Voorhees ever terrorized my PS3
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Graphics similar to "Uncharted: Drake's Fortune"
Grand Theft Auto Sandbox style gameplay
Mortal Kombat "Fatality" style kills
Quick Kills (Step 1: Grab pointy object, Step 2: Insert into counselor)

Jason: Find Mrs. Voorhees in her Cabin on Crystal Lake
Counselor: Find opportunities to break "rules" (Sex, Drinking, Drugs)

Two Storylines (Play one story as a camp counselor, one as Jason)
Kane Hodder doing motion capture for Jason
Dead Rising's philosophy of "Anything Is A Weapon"
Unlockable Costume (Jason X)

Both storylines spanning across multiple movies:
Start in Camp Crystal Lake
Work the story to Manhattan
Then back to Crystal Lake
Then to Elm Street (Freddy Vs. Jason)
Then back to Crystal Lake (Fighting Freddy at the end of the game)

This list is still a sort of work in progress
If you like the idea of a new Friday game, Feel free to comment with other suggestions