Corfu, known as Kerkyra in Greek, is a beautiful island of verdant hills and rocky coves, and away from the more crowded resorts it remains a sleepy and idyllic place. Don’t miss the picturesque Venetian architecture of Corfu Town, a UNESCO World Heritage Site.

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 little fishing town of Gythion was once the seaport for ancient Sparta, though these days it’s a pretty sleepy place. Take a stroll around the picturesque streets and soak up the atmosphere, with pastel-hued houses, balconies draped in bougainvillea and some great little seafood restaurants.

The volcanic island of Santorini (known officially as Thira) is one of the most spectacularly beautiful in the Mediterranean. The pretty village of Oia, with its whitewashed houses and windmills tumbling down the hillside, is particularly photogenic.

The charming port of Agios Nikolaos, on the north east coast of Crete, offers a beguiling blend of characterful tavernas, lively bars and designer boutiques. The town is centred around little Lake Voulismeni, and nearby attractions include some lovely beaches and the Minoan ruins at Gournia.

Sun-kissed Rhodes, the largest of the Dodecanese islands, is steeped in history; the medieval heart of Rhodes Town was once home to the crusading Knights of St John, and later fell to the Ottoman sultan Suleiman the Magnificent. The hillside village of Lindos, with its pretty whitewashed houses, is another highlight.

The Turkish port of Kusadasi is the gateway to Ephesus, one of the most spectacular archaeological sites in the Eastern Mediterranean. This was the Roman capital of Asia Minor, and the remains constitute the most complete classical city in Europe.

Saint John is said to have written the Book of Revelations in a cave on Patmos, and today the spot is marked by the hillside Monastery of the Apocalypse. As well as spirituality, the island is known for its beaches and upmarket vibe, with a scattering of stylish restaurants and bars.

Glamorous Mykonos is the most popular of the Cyclades islands, well known as a haunt of the rich and the famous. It’s also the gateway to the nearby island of Delos, home to one of the most important archaeological sites in Greece.