One of the best things about Naples (besides the pizza) is the easy access to the Mediterranean islands and the Amalfi Coast. A couple of recent day trips to Sorrento consisted of fettuccine and sunbathing with a few rowdy Australians followed by prosciutto sandwiches and rock jumping with some cute Americans.
Sorrento was really lovely. I should note that I kept a lookout for shredded cheese everywhere I went before realizing that's actually SARGENTO and I'm a dumb American. Still a lovely place.