A non-zoomable Google/Bugbog Cyclades map of islands in Aegean Sea, Greece.
Our top three Cyclades Islands
Crete island would have been at the top of our list except that it’s not in the Cyclades islands, nor Aegean Sea, as you can see! So Santorini gets the top spot: Sitting on the edge of a (hopefully) extinct volcano that caused the Atlantis legend, Santorini doesn’t offer soft sandy beaches but is historically and visually fascinating, with brilliant panoramic views from teetering little hotels.
On the other hand Mykonos is home to a lovely little town (aka Hora, like all the other Cyclades horas!) and the island is lined with many sandy beaches, though not exactly soft. There are beaches suitable for all sorts of visitors from families to gay nudists.
As you can see Naxos is blessed with very soft sandy beaches, some large, some for nudists. It also has some a pleasant port town with some historic ruins. Another selling point is the hilly countryside that is scattered with panoramic walks, a great attraction for the Germans that love to visit.