sorry for the late reply! i was on college when i send that message woops

but heres a few games!! some i played with a friend already so i will lyk what i think abt it :]c i will also give a little synopsis of each. and say if theyre free or not

Keywe

- one of my favorites!! you control two kiwis in a mail station!! you have to press the keys by headbutting them lol its veery cute and silly
- both coop local or online
- payed

It takes two

- ALSO one of my favorites
- coop online only i think
- payed

Escape simulator

- Like the title sugest!! its a escape room simulator, you have to resolve little puzzles to pass the levels. If you like escape rooms in general i actually have alooooooooooooooot of multiplyaer escape rooms simulators if youd like
-coop online or singleplayer
-payed

Rhytm doctor

- Rhytm game where youre a doctor healing other people by music!! level difficult is VERY hard tho. or i suck. its one of them.
-coop local only, tho works on remote play im quite sure
- payed

Moving out

- kinda like overcooked, which is another good multiplayer game if you never heard it before, but about moving out houses! Like you move around sofas and theres littel ghosts who bother you its fun. kinda chaotic.
- Coop local only i think.
-payed

Greenhell

- youre trapped in a forest, you were tehre to study a native group who was quite agressive to technology and your life got lost in the middle of the forest and now youre looking for ehr
- Theres an easy mode so it should be fine, base game is quite hard
- I never finished this game so take it with a grain of salt lol
- coop online only
-payed

Raft

-ONE OF MY BIGGEST FAVS TOO. You start trapped in a raft and have to go to radio stations to proceed the story!! the game have a quite slow start but it gets very good!
- coop online only
- Payed

Castle crashers

- I LOOOOOOOVE LOOOVE THIS GAME. its very easy to play and its a hack ans slash type game!! you're soldiers saving princesses and its veery fun
-coop online
- Payed

Phasmophobia

-Horror multiplayer game! youre ghost specialists trying to identify which ghost is inside someones house
- Level difficult is quite hard but tbh i don't get a single ghost right and i still have a blast with it
- Coop online
- Payed

Guacamelee! 2

- Story driven game where youre fighters??
- I played like 5 minutes because i havent got much time but it seems fun!
- Payed
- local coop only i think

Lunch lady

-Shitpost horror type game. fun to giggle around while screaming
- payed
-online

Monster prom 1/2/3

-Quick game matches where you try to date a monster in time to ask them out for prom!! its very fun competition and kinda like dating sim
- payed
- local coop only

And then theres like, more popular games like cuphead, portal 2, superliminal, left 4 dead, sea of thieves and stardew valley. Theres also multiplayer mods for popular games like for example undertale and mario 64 which is very fun! but theyre local only i think

Now games i never played but its on my list on "to play":

The forest / sons of the forest

- putting both of them since its a story, tho you should start with the forest
- similar to greenhell, survivor game where you are lost in a forest because your plane crashed an island of cannibals. base game should be quite hard but theres an easy mode :]
-Coop online
-payed

PINSTRIPE MURDERS

- roblox horror game that seems quite fun tbh???
- Free here lol

heavenly bodies

- Chaotic game about being astronauts and being on space trying to fix your spaceship lol
- local coop
-payed

Pit People
- Same creators of castle crashers, turn based game, if it seems like your type of game mayeb youd like "For the King" too
- Local or online coop
- payed

kika e daigo

-Has mixed reviews on steam so take it with a grain of salt, but a lil adventure of an owner and her dog!
- Free
- payed

Also you mentioned steam remote play, have you ever tried parsec? in my experience it works better then steam remote play :0c just a lil recommendation! that way you can play local only games even if they arent on steam like idk bomb it lol

also² lmk what you think of the games when you play!!!!!! id love to hear abt them <3