Okay some of these are definitely not new popular or known necessarily but I will note where I can what I can about the library I know I have that is local multiplayer.
All Zombies Must Die (isometric top down cartoon stylies twin stick co-op shooter)
Among us (you likely know)
Battle Block Theater (side scroller cartoon styled co op mild puzzle solver maze type thing, really fun)
Borderlands (with the caveat thaf it may not be all of them and you need to edit engine settings but the consoles have it and it is possible if you enjoy the game)
Burnout Paradise (pass the pad less version of the game but unique and fun if only for a short time, if you all like Burnout it is fun for a competitive blast)
Castle Crashers (same people as Battle Block different style, hack and slash scroller adventure)
Cuphead (Pretty sure this is local, great game eitherway)
Dont starve together (not sure if local)
Halo MCC
Hammerwatch (top down pixel style rogue like really fun)
Horizon turbo chace (outrun style racer but lap based)
Lethal League/LL Blaze (2d fighter but with base ball bats and the ball is the weapon, and the ball can break the sound barrier, lots of fun and really fast)
Magicka (not sure if local, either insane cluster or coordinated death ballet)
Monaco whats yours is mine (stylised 2d co op stealth heist game, lots of different roles fun story)
Nail’d (atv mx completely nuts racing game woth impossible jumps, dated and old and offline but still fun if you like that thing)
Nidhogg (2d fencing game, it is really fast fun, even as a decider between games or virtual rock paper sicssors)
Pac-Man Campionship edition (pretty sure that is local 2 player, pacman but fast and colourfun)
Portal 2
Retro Arch (not a game in itself but front end for various emulators which have lots of multiplayers gems)
Slipstream (classic outrun style)
Sonic Mania
Speedrunners (side scrolling racing platformer)
Stacking (maybe?)
Stardew valley (not sure if local)
Ultimate Chicken Horse (unique 2d side scroller puzzle competitive platformer racing game… Basically at the start you cant complete the level but you place platforms, but only you want to be able to win so you have to be crafty with the placement and traps… Evil fun)
Worms (pick one)
You dont know jack/Jackbox parties