On Mykonos, have a wander around the church complex on the low hills of Kastro known as Our Lady 'Paraportiani', and now a national cultural monument. Take a short side trip by boat to check out the archaeologists' dream island - Delos, a political and spiritual centre of ancient Greece.
Amorgos has ruins all over the island, as this was once a place of great importance for the Cycladic civilisation.
Naxos Town stands on a natural hillside amphitheatrical site and is also known for its Venetian castle. Go to the Archaeological Museum to find out more.
Paros was another centre of the Cycladic civilization and the island capital of Parikia (or Paros Town) is built on the site of an ancient city. There's a ruined Venetian castle to take pictures of.
Santorini geologically differs from the other islands because of its dormant volcano - Oia (pronounced Ea) - and scattered 'calderas', smaller volcano cones. Capital Thira is a site of great archaeological interest while the town of Akrotiri also reveals Minoan volcano-devastated ruins reminiscent of Pompeii. Thira is reached by cable car from the harbour, by donkey or by 800 strenuous steps.
Beautiful Andros, the most northerly island in the Cyclades and the second largest, is also becoming very popular for its archaeological aspects, great restaurants and excellent beaches.