Set in the heart of the Algarve, the tiny fishing town of Olhos de Agua surrounds a sandy cove lapped by the Atlantic Ocean. Despite its proximity to the developed Albufeira resort, Olhos de Agua retains its authentic Mediterranean charm.

Faro is the best-known city in Portugal’s deservedly famous Algarve region. There’s an archaeological museum and a “Bishops’ Palace,” a Renaissance cathedral that was heavily bombed during World War II, but later rebuilt. Nearby in Estoi are Roman ruins, and Albufeira, also nearby, is a formerly quaint fishing village influenced by the Moors in the 8th century. It’s situated in a cliffside location, and has become famous for its beaches (there are 20) and nightlife.

Once known for smog, traffic and tacky architecture, Athens is a city reformed thanks to fortunes brought by the 2004 Summer Olympics. Spotless parks and streets, an ultra-modern metro, new motorways, an accessible airport and all signs in perfect English make the city easily negotiable. Meriting more than a stopover en route to the islands, sophisticated Athens sites include many pillars of Western history, from the Acropolis to the Temple of Olympian Zeus, as well as treasures in the National Archaeological Museum.

Lying in south central Turkey, the moonscaped region of Cappadocia, southeast of Ankara, is most famous for unique geological features called fairy chimneys. The large, cone-like formations were created over time by erosion of the relatively soft volcanic ash around them. Past cultures have dug into them to create dwellings, castles (like Uchisar) and even entire underground cities like Kaymakli and Derinkuyu, used as hiding places by early Christians. Nearby Kayseri is the gateway to the area.

The first time you go to New York, go ahead and be a sight-seer—everyone should visit the Statue of Liberty, the Met, Times Square, etc. But on a return trip, pick a neighbourhood and go deep. You’ll find hole-in-the-wall bars, great delis, quirky shops… exploring the non-touristy side of New York is an incredibly rewarding experience for a traveller.