Mombasa, with a population of 900,000, is no sleepy seaside village. Its beachfront hotels appeal to travellers in search of sun, sand and surf, while its Arab, Indian and colonial European heritage makes for a wide variety of sights to see. Can't find a taxi? Travel by tuk-tuk, a three-wheeled auto rickshaw.

This resort town, with its great beaches, has a bit of a Spring Break atmosphere (the parties start in the late afternoon and go all night). If dancing in a bikini is not your thing, though, no worries—you can explore a mediaeval monastery or enjoy cruises on the lovely blue water. Families will want to visit Water World, the biggest theme waterpark in Europe.

Oia is carved out of the cliffs, and visitors can see houses built for Venetian sea captains as well as the more typical "cave houses" of the villagers. You’ll find the pure white buildings with colourful roofs that are typical of Greek architecture, and you’ll probably enjoy poking around the town. But don’t breeze through in an hour—you must stay for the sunset. It’s legendary. Watch from a café, or, better yet, from a boat—you’ll be spellbound.

The Peloponnese is a large peninsula on the southernmost part of mainland Greece. Its history dates back to the Bronze Age. Buses and rental cars provide the best options for seeing the region's sites, such as Mycenae's ancient theatre, Sparta's Archaeological Museum and the ancient ruins of Mystras, Olympia, Mycenae, Corinth and Artemis Orthia. Held by the Turks and the Venetians until Greek independence in 1821, this centre of ancient Greece is also justly famous for traditional Greek dancing.

If your kids are sick of the same old beach holiday you take every year, consider taking them to Lanzarote. There are great beaches, to be sure, but this UNESCO World Biosphere reserve has unique attractions and activities. We're talking camel rides on volcanoes (at Timanfaya National Park), or eating at a restaurant in a volcanic cave (at Jameos del Agua). Even the most jaded teens will be impressed.