Well, automatic hand driers are very common over here, I suspect because they are easier to install at a cheaper price even if the facility did at one time have standard ones. likewise, auto sinks, while not universal do occur from time to time, though I agree with Cw, playing find the soap can be rather interesting.
Btw, the best ever public toilets have to be the ones at the Franky and Benny's chain. I assume you have that chain in the Us? they sort of pretend to be a fifties Italian/american dimer, they're always playing frank senatra and other crooners and they do a mix of food that ranges from burgers and hot dogs to pasta and pizzas.
The awsome thing however is for some wonderfully weerd reason all the loos have a basic "how to speak Italian" tape playing in the background! so, you you can go and take care of business while being told how to say things like "I want to wrent a car", or "This pasta is too hot" En l'Italiano .
I have absolutely no idea what the purpose of this is, but it is pretty cool! My Italian teacher was quite amused when I told her.
With our dreaming and singing, Ceaseless and sorrowless we! The glory about us clinging Of the glorious futures we see,
Our souls with high music ringing; O men! It must ever be
That we dwell in our dreaming and singing, A little apart from ye. (Arthur O'Shaughnessy 1873.)