My rule of thumb has always been “driving, fighting, third person view? Controller // strategy, turn-based, first person, mostly everything else? M/K” and it’s worked well. I would never play an FPS with a controller or on a console, but games like RDR 2 or Spider-man seem like natural fits to me. I’d also rather play a racing or fighting game on my TV/console, so it really depends on the game itself.
Like @None a few years back, I made myself play controller based games that I was excited about so I could get more familiar with a controller. Having that as an option opens the doors to a LOT of cool games that I’d have otherwise never experienced, like Spelunky.