Malta’s tiny capital, established by the Knights of St John, packs in an awful lot of history considering its diminutive size. The atmospheric old streets, bathed in Mediterranean sunshine, are full of attractive honey-golden buildings, along with an impressive selection of bars and restaurants.

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.

Alexandria was one of the great cities of antiquity, founded by Alexander the Great in 331 BC and home to the Pharos lighthouse, one of the original Seven Wonders of the World. The Pharos is long gone and the city has lost some of its lustre, but there are still plenty of reminders of Alexandria’s glorious past scattered around.

Port Said is the gateway to Egypt's capital, Cairo. Obviously the highlight of your visit may well be the Pyramids and Sphinx at Giza, but on no account neglect a visit to the Egyptian Museum, which has a truly stupendous collection of ancient artefacts, not least, of course, the Tutankhamen treasures.

The buzzing city of Limassol is southern Cyprus’ main port, an important commercial hub that overflows with bars, restaurants and tavernas. It’s also home to a pleasant old town and medieval castle, and serves as an excellent base for exploring the nearby Troodos mountains.

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.

Crete’s bustling capital is a modern and cosmopolitan city, where the island’s rich history isn’t immediately apparent. Take a closer look, however, and you’ll find a fantastic archaeological museum, along with remnants of Venetian fortifications and a lively seafront promenade, with plenty of nice outdoor cafés.

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 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.

The North Aegean port of Dikili is the gateway to the spectacular hilltop ruins of Pergamum, a 30-minute drive away. Most of the buildings here date back to the 2nd century BC, including the main palace, the library and the Altar of Zeus, and the ruins were declared a UNESCO World Heritage Site in 2014.