Once a vital part of a mighty sea power, Positano is today a sophisticated resort on the central Amalfi Coast. Moorish-style architecture rises up steep slopes that gaze out on the Sirenuse Islands. Smart boutiques, selling fashions for visitors to display on Grand Beach, abound in the village. And it’s a great base for exploring the area—you can easily travel by boat to Capri, Ischia and the Grotta dello Smeraldo cave.