Recommend me a racing/driving game on PC

My parameters are

• Any kind of racing - F1, Moto GP, X games, rallycross, antigravity... you name it.
• No subscriptions
• I lean away from sim/management games... I don't mind some customization, but I don't want to have to choose from 10 different types of brake pads for best performance on each track.
• Combat optional
• If it makes a difference, I'll be playing with a controller, not a racing wheel.

[Edit: I should have specified - a modern racing game. I'm pretty versed on the options pre-2010, it's the new stuff I'm looking for.]

I originally wanted a rally game to scratch a hillclimb itch but I'm open to whatever now. Trawling through Steam has made my head spin though.

Previous racing games/series I've played and liked - Rallisport Challenge (really, if I could just play this again I'd be set), Wipeout 3, Road Rash, Ridge Racer Type 4, Twisted Metal 2, Jet Moto, Wave Race, Mario Kart, Sled Storm... OutRun! Showing my age here.

Somehow I've never really liked Need For Speed.