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Budget-conscious travellers who want to do Greece on the cheap should check out the island of Corfu.

Though relatively small in size, Corfu manages to pack in a variety of beaches (some with sand, some with pebbles, some with remarkable rock formations), a big waterpark and a magnificent medieval fortress, as well as a large proportion of Greece’s cheap hotels.

The eye-widening beauty of Santorini is no secret, yet the proliferation of tourists here does little to dim its appeal. The island lays claim to some of Greece’s top luxury five-star hotels, many of which boast dramatic views over the island’s soaring cliffs to the shimmering Aegean Sea beyond.

The island is also home to a handful of wineries, which produce some of the country’s most notable whites.

If you are a foodie or a hiker (or both), then sandy little Naxos may turn out to be your idea of Utopia. The fertile island’s abundant produce features heavily on the menus of the many excellent restaurants. And its lush green interior is home to more than 40 kilometres (25 miles) of Greece’s finest hiking trails, many of which pass through hidden-away farms and villages that few other tourists visit.

Elsewhere, Crete, an island off the south coast of Greece that also happens to be the supposed birthplace of Zeus, will delight history buffs with its superb archaeological museum, ancient caves and palaces. And Lefkada’s combination of daytime yacht charters and stylish villas is perfect for anyone who likes messing about in boats.