Though probably best known as the capital of West Germany from 1949 to 1990 (and of reunified Germany until 1999), Bonn actually has a history dating back to the 1st century BC. Roman soldiers were stationed here and the largest known Roman fort was built at Bonn. In medieval times, the town gained prominence when the Archbishop of Cologne transferred his seat to Bonn. The city's most famous son is Ludwig van Beethoven, born in 1770 at Bonngasse, where a museum now honors him.

It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?

Brimming with both history and natural wonder, Northern Portugal is home to Porto, the city that gave the country its name, as well as the important ancient town of Braga. Also here is Peneda-Gerês, Portugal’s only national park, a gorgeous wilderness area of mountains, gorges, water features and wildlife. Many picturesque villages and manor houses dot the countryside. Two areas are UNESCO World Heritage Sites: the Alto Douro Wine Region, and the Paleolithic rock art in the Côa Valley.

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.