good games to play with an controller?

A nice game is Duck Game.
Other than that one, the Lego videogames are fun to play, especially if you like the films

Pretty much any platformer or fighting game?

Lego

Any Dark Souls game, Dead Cells, Salt & Sanctuary, and RUINER come to mind first (someone else mentioned the LEGO games, which are also best with a controller).

Assassin's Creed series; Classic Tomb Raider games; Need for Speed series; Lego games; etcetera.

castlevania - mirror of fate
hollow knight
inside
trine

I use a controller for 3rd person, driving, platform and topdown/twinstick shooters and mouse and keyboard for everything else

I have one and I really can't get used to it other than for some platformers, most racers, and all Hyperdimension games. Anything else, kb+m for me. I guess that's the trouble when you've used kb+m all your life.

Dark Souls, GTA, Shadow of Mordor, Overcooked, these ones I use da controllerr

Any of the SteamWorld games.

Twin-stick shooters like Helldivers
Bastion
Action RPGs like Dark Souls

Bastion
Braid
Brothers - A Tale of Two Sons
Closure
Deadlight
Insanely Twisted Shadow Planet
INSIDE
Mark of the Ninja
Rochard
Rocket League
Rogue Legacy
Steamworld Dig
Steamworld Heist
Transistor

Any 3rd person action game, beat-em-up, platformer, JRPG, twin-stick shooter, arcade racer, etc. Games like the Bastion, the Batman Arkham series, Bayonetta, Inside, Nier: Automata, Nex Machina, and Burnout Paradise to name a few.

Grid autosport, Spintire, Street fighter / Mortal Kombat , Rampage Knight.

All the games from Supergiant Games and the Lego games. Skyrim and fallout work pretty good with a controller.

Buy a console like xbox or playstation. Or maybe the wii too.

Victor Vran has full controller support and it's pretty fun

Far Cry 3
Far Cry 4
Pinball FX2
Pinball FX3
Euro Truck Simulator 2
American Truck Simulator

I'd add Oceanhorn to the pile as well - really forgiving, nice game that doesn't punish you too hard if you're learning into a controller. Same for LEGO games.

Nex Machina

My approach is that if it's not an FPS or something else better suited for a mouse like a point & click or similar I'll play with a controller if given the option, except for fighting games, those I play with keyboard only.

It's doable with keyboard and mouse (I did it, yay!), but all game that available at console or 3d game is suitable with exception for fps (like comment above).

Some game I play last year with controller and kam:

• Brothers - A Tale of Two Sons, player control 2 main character in same time with left and right analog stick (I did it with kam XD)
• 3D platformer/action/adventure: Enslaved, Abzu
• Musou game
• RPG/Action RPG game like: ys, trails, ff 9, grandia, neptunia
• Platformer: I finished some comfortably with kam, like vvvvv, ori, dust. With controller: guacamelee