Founded by Greek colonists in 734 BC, Siracusa was once the largest city in the ancient world, surpassing even Athens in its splendour. Highlights include the island of Ortigia, where narrow streets are lined by beautiful Baroque architecture, and the impressive ruins at the Parco Archeologico della Neapolis on the Sicilian mainland.

Rugged Kefalonia is the largest of the Ionian islands, and remains unspoilt by tourism despite earning fame as the setting for ‘Captain Corelli’s Mandolin’. The island rewards exploration, with some splendid beaches and lovely little villages, and the vineyards here produce some excellent wines.

The beautiful Byzantine town of Monemvasia is dramatically located on a steep chunk of rock, originally a coastal headland until an earthquake in AD 375 turned it into an island. Nowadays access is via a narrow causeway, and the pretty streets of the medieval citadel are home to more churches than people.

Nafplion is one of the most beautiful cities on the Greek mainland, situated on the Argolic Gulf overlooked by the imposing Palamidi Fortress. The narrow streets of the old town are home to a beguiling mix of Venetian, Turkish and Greek architecture, while just offshore is the little island castle of Bourtzi.

Syros is one of the smallest of the Cyclades islands, though it’s also the administrative capital of the archipelago. Not many cruise ships call here, so you’ll find the beaches are much less crowded than other islands, and the main town, Ermoupoli, is home to a fascinating mix of architectural styles.

The volcanic island of Milos is ringed by pretty beaches and scattered with charming villages, famous as the place where the Venus de Milo was discovered by a local peasant in 1820. Milos is also known as the ‘island of colours’ thanks to its many-hued, mineral-rich cliffs and beaches.