Anafi (Ανάφη)
Wonderful, small unspoiled island with many uncrowded sandy beaches.
Only one settlement - the delightful village of Chora, 200m above sea level. The island is not well served by ferries but it is well worth making the effort to get there. The easiest way is to fly to Santorini and get a ferry from there but beware they don't run every day. Very friendly local people.