I can't stand trying to do a heel to or a quick shift in shoes with a rigid sole. I want the sole of the shoe to wrap around the pedals a little bit for grip, but slide off the pedal if I flatten my foot out. Diesel Gunners, Harold, and Happy Hours models are great driving shoes that don't immediately peg themselves as driving shoes.
I've had quite a few different brands over the years, but for my wider feet I prefer the Diesels over many other driving-shoe makers. They're not fireproof or any of the things a professional racing driver would need, but from my perspective they're one of the better enthusiast driving shoes out there...and the prices aren't horrible.
It used to be a snug pair of Chuck Taylors for a super effective and cheap driving shoe that retains a lot of feel, but now that they're like $50+ there's no point.