Ponza is the largest of the Pontine islands, situated out in the Tyrrhenian Sea to the west of Naples. Sometimes described as a more authentic alternative to Capri, the island is notable for its natural beauty and Neapolitan-influenced cuisine, and has a reputation as a hideaway for the rich and famous.

Rugged, rocky and almost entirely uninhabited, Palmarola is a secret even to many Italians, yet Jacques Cousteau described this as ‘the most beautiful island in the Mediterranean Sea’. Landings are possible at a handful of craggy coves, and the crystal clear water is perfect for snorkelling.

The lovely town of Sorrento, draped across rugged cliffs overlooking the Bay of Naples, has been charming visitors since the days of the Grand Tour. The Renaissance palaces and many craft shops make Sorrento an attractive destination in its own right, and it’s also a jumping off point for Capri, Pompeii and the Amalfi Coast.

Lipari is the largest of the Aeolian Islands, a volcanic archipelago to the north of Sicily. The main port is Lipari Town, a charming little harbour of pastel-coloured houses, fishing boats and enticing restaurants, overlooked by the imposing 13th century citadel.

Taormina enjoys a truly spectacular setting on Sicily’s east coast, perched on a mountainside looking out towards the smouldering Mount Etna. The medieval streets are pleasant but often crowded in high season, so we’d recommend getting out and exploring the surrounding countryside.

The little seaside town of Katakolon, on the western coast of the Peloponnese, is the gateway to ancient Olympia, birthplace of the Games and the place where the Olympic flame begins its journey every four years. Make the most of your visit with a guided tour of the ruins, and don’t miss the treasures of the Archaeological Museum.

The Peloponnesian town of Pylos has a rich history, mentioned in antiquity by Homer and home to the ruins of the Mycenaean Palace of Nestor. In 1827 the Ottomans were defeated here at the Battle of Navarino, a pivotal moment in the Greek War of Independence, and you can still see shipwrecks in the bay.

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.

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.

Little Sifnos is perhaps the most beautiful of all the Cyclades, an island of olive groves, whitewashed villages and dazzling blue bays. The lovely capital, Apollonia, is really a collection of villages, and the surrounding hills offer scenic walks aplenty. The island is also known for its ceramics, basket weaving and cookery.

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.

Hydra is unique amongst the Greek islands, blissfully free of motorised traffic; transport here is by donkey, water taxi or on foot. The island has attracted many artists, musicians and actors over the years, but retains a rustic and tranquil atmosphere.