Driving shoes exist for a reason
If you've ever seen a pair of "drivers" in a shoe store, it's not just a name. They're shoes specifically made for driving, and as it happens, they're usually pretty darn good-lookin'. They're not very wide, the soles are nice and thin, and a really good pair basically feels like leather mittens hugging your feet.
Any thin-soled shoe is a good driving shoe -- when you step on something like a pencil, you should be able to clearly feel where it presses into your foot. In the car, you won't just feel the pedals, you'll feel exactly what part of your foot is on what part of the pedal, and you'll have way more control when you're accelerating, braking, and most importantly, when you're transitioning from one to the other.