I want suggestions for good local co-op games

You say your friends hate FPS, what kind of games are they fond of? Me and my friends sometimes get together and play a kite game.
It is like a tabletop game, except no dices, sheets or keeping any sort of scores. What you do need are five other men and one girl. The girl is supposed to be a pale ginger, with freckles (this is very important). She is supposed to play a key role in the whole game - "the cup". While she is getting undressed, one of the guys is supposed to draw straws over her head to decide who is supposed to go first. Once selected, the first guy bends over and the ginger gal shoves the toothbrush straight up his behind. The other 5 use their camera phones to capture a crucial part in the event - 'the wince".
Obviously by this point the man is enjoying it, but screaming, so it's the job of the other 5 to keep him quiet by stuffing his mouth with their penises. As the first man is about to reach climax, the woman is supposed to pull out the toothbrush quickly, but now before he relieves himself against her uterine opening, raining his conception down on her own conception pool, so that her uterus can quiver its lips for days to come, like a camel desperate for water in Cairo. The process is repeated and the men draw straws again and one by one, going forward with the motions.
The men lift the ginger pale woman and proceed to tip the remaining mix of 6 types of conception down the open mouth of the man who drew the short straw. Instead of swallowing, in an act of defiance, the "Receiver of the Pennance" is permitted to spit the fruits of their labor on his friends. Once finished, the girl leaves and the men clean themselves.
If successful, somehow the woman falls pregnant, and proceeds to birth a healthy ginger child. A paternity test is then carried out shortly after the birth. Whoever is medically determined to be the father wins a kite.

Anyway, just give it a go.

Ragnarok Battle Offline probably the best local co-op I have ever played in my life.

Duck game. You can play online or local. You share the same screen. You can download custom map or make your own custom hat. To play 3 players, you need at least 2 wired xbox360 controller and someone on keyboard. Or 3 controller.

Crypt of the NecroDancer is fun in split screen

I would recommend magicka (1 and/or 2), battle block theator, broforce, and dungeon defenders (the first one not the second)

There's already a lot of good answers in here I see, but I also have 2 cheap games if you like puzzling: Space Farmers and ibb & obb.

But, if you are interested, I should also inform you that they are cheap bundle games and you can probably get them easily on the trade forums, so you probably shouldn't waste money buying them full price from steam.

Sorry, it's way too late here to read back, so excuse me if I repeat titles.
Nidhogg
Hammerwatch
Forced
Magicka
Broforce
Risk of Rain
Bloody trapland
speedrunners
somethint like speedrunners but I don't remember the japanese-like sounding title.

Heroes of Might and Magic III

Good that you ask, love coach coop games!

► Sportsfriends its awesome (you can grab it on HumbleBundle now)
► Abyss Odyssey
► Magicka
► I dont know if Battleblock Theather have 4 coop
► Bloody traplan
► Crawl its awesome with friends
► i think flatout have coop
► Screencheat (really fun)
► You can do a little tournment of Mortal Kombat or Street Figther
► Lethal League is ultra fun
► Lord of the Ring War in the north irs fun but maby not what you are looking for
► Nidhoog is 1 vs 1 but still fun with 4 friends
► Even that Nuclear Throne has 2 coop i just cant stop recommending it
► Shoot Many robots
► Rayman Origins and Legends (strongly recommend this one)
► Rayman Raving Rabbits
► Road Redemption its great
► Rocket League
► Gun Samurai
► Speedrunners great for 4 players
►I dont know if the pc version of Star Wars Battlefront 2 have splitscreen, i will assume it have
► Starwhal
► Super Indie Karts its like mario kart
► Thief Town, really simple but incredibly fun
► Tower Fall Acension (dude the fun i had with this game was a lot)
► Gang Beasts
► Gauntlet
► Porcunipine
► Miner Warfare
► Mount Your Friends

I am sorry if i went to deep

EDIT: O so you are taking suggestions for 2 players coop too, awesome:

► Deathspank (any of the three)
► Zeno Clash 2
► Rock of Ages
► Portal 2
► Octodad
► Left 4 Dead 2
► Foul Play (you will like this one, i promise)
► Dust Revenge
► Shank 1 and 2
► The Cave
► Apotheon

I am probably missing some of them, and i better dont talk about console games that you can emule, it will be even longer hahaha

Castle Crashers + Battleblock Theater
Gauntlet
Lara Croft and the Guardian of Light
Monaco
Spelunky
any Geometry Wars game
Dungeonland
Hammerwatch
Mercenary Kings
Vertical Drop Heroes
Deathspank series is couch coop but in a player+helper way. It is still funny to play with someone though.