Half the Man He Used to Be: A few kill animations has Jason hacking his victims horizontally in half.
Gravity Is a Harsh Mistress: If a character runs over a hole, it takes them a moment to realize it's there and fall in.
Good Old Fisticuffs: You can choose to have Jason forgo any weapon and just use his fists, his no less deadly with his bare hands.
Gardening-Variety Weapon: Various weapons available to Jason are gardening equipment repurposed for creating corpses rather then tending plants and the like.
Even Evil Has Standards: Allowing any cats to come to harm is a mark of failure.
Denser and Wackier: The Friday the 13th films were never exactly grounded in reality, but the game keeps a notably comedic tone throughout.
Another cameo is Kyle from Never Hike Alone, now Jason actually manages to kill him unlike in the film.
For added irony one can use the Golden Chainsaw if it is unlocked.
James and Chelsea from Dead Meat are possible victims for Jason to kill.
Of particular note is the ending cutscene of Episode 5, where Jason gives a girl a Sand Necktie (by punching her into the ground) and then just walks away, letting the high tide kill her.
Cruel and Unusual Death: Well this is Friday the 13th so it's to be expected.
Cool Mask: In addition to his iconic hockey mask, Jason wears several others in different costumes for the different chapters, including a hockey and gask mask combination.
So one can finally do a Hockey Mask and Chainsaw trope with the man himself.
Chainsaw Good: One of the weapons Jason can get is a chainsaw.
Some puzzles can only be solved by scaring people into place and avoiding killing them until after certain other actions have been taken.
Can't Kill You, Still Need You: A gameplay mechanic.
Bling of War: There are several gold weapons available as rare drops.