Old-fashioned H and C handles.
Ones where you push the button and it works for a while is no good because it's usually a short time period and I have to keep pressing the button. Ones where I have to hold the button down are worthless because I can't cup enough water into one hand while pressing the button with the other. Automatic sinks are bad because the sensors are poor. I had my hands under the faucet and nothing happened, until I realized the hands had to be very close to the faucet for anything to happen. Even then, the sensors were wonky. And one handle with random temperature I don't like (yeah, it seems random at times) because it either ends up too hot or too cold, it's too much effort to get it at a happy medium.
Considering some opposition to handles because germs can accumulate on them, if only there was a self-germ-destroying handle thing, or some cover that is relatively germ-free, or like a Lysol sheet over each handle... yeah, that's never going to happen. And like Ellen Degeneres said, after you wash your hands and dry them off, you have to touch the disease-ridden door handle to get out. Might be better to have one of those push doors so you can just push it open with your shoulder or elbow. But then you'd have to hope no one's on the other side trying to enter at the same time.
The one thing I'm more concerned about regarding public bathrooms is why you still have to use that horrible paper to dry off your hands. It's hard, doesn't seem as absorbent, and my hands never feel dry using those until I use up 2-3 sheets. And if for whatever reason I try to blow my nose with one of those things (I never do because it's futile to do so), it's like sticking needles through my nose.
So I do enjoy the automatic heat dryers, just as long as they're the right temperature (not hot enough that you can only have your hands under it a half-second at a time). Plus, it's always great to have heated-up hands, it's like putting on warm clothes.
I say either make those automatic things last until we're three feet away, or make it possible to operate everything using a shoulder or elbow. But then the diseased stuff would be on our shirt... or worse, an unexposed shoulder or elbow. Imagine putting soap there.