I think one of the most interesting and unique parts of Rome, that I have encountered so far, are these little guys.
There are literally thousands of them scattered across Roma. They are called "nasoni," which comes from the Italian word nasone, or big nose. They are running 24/7 and supposedly provide the best drinking water in all of Italia. High in calcium, ice cold, delicious.
They have been around since 1874 and most are hand-carved in stone. It looks as though you would have to bend over and drink it, like some sort of confused gorilla (or American). Actually, you put your palm on the spout and then water is forced out of a small, upward-facing hole, thus providing the perfect, chest-height arc for drinking.
Quite handy... get it?