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.

Nestled in the fertile Susquehanna Valley, Harrisburg has played a pivotal role in the shaping of American history, both as a major link in rail and water transportation and as the setting of major Civil War battles. Having bounced back from economic distress in the 1980s, the city is now a vibrant hub of family activities, from cruises along the Susquehanna to arcades and athletics on City Island. The annual Pennsylvania Farm Show is the largest indoor agriculture exposition in the U.S.

Before the morning mist had broken at dawn on April 19, 1775, shots rang out over Lexington, Massachusetts, signaling the beginning of the American Revolution. More than two centuries later, the town boasts a proud patriotic heritage, reenacting the Battle of Lexington and Concord and Paul Revere's Ride every April. Walk in the footsteps of the early patriots at the Battle Green and Minute Man National Historical Park, visit Lexington's three historic houses or take a Liberty Ride trolley tour.

More than 30 miles of beaches plus a wealth of cultural and historic institutions make this island a Gulf of Mexico holiday hot spot. If you go, don't forget your walking shoes: With 14 museums and 20 art galleries, plus several historic homes and mansions, there's a lot of ground to cover. Armchair pilots will love the Lone Star Flight Museum and those with more of a nautical interest can check out the Texas Seaport Museum. Families will enjoy the many child-friendly attractions, including Moody Gardens, with its replica of a tropical rain forest. It's easy to get caught up in all the activities, but don't forget to spend some downtime in the sun and on the beach.

Well-priced, all-inclusive beach resorts are the norm around Puerto Plata. Take a cable car to the peak of Mount Isabel de Torres, enjoy a concert at an amphitheater facing the Atlantic Ocean, visit the 16th-century San Felipe Fortress. Explore the nearby falls of Damajagua, snorkel off the beautiful island of Cayo Arena or play a round of golf in spectacular surroundings. Then discover the neighbouring towns of Cabarete, a kite-boarding hub, and Sosúa, a picturesque beach spot.

Lille is an architectural feast with strong Flemish influences from the Grand Place to the basilica of Notre Dame de la Treille to the quiet streets of row houses and gardens. For art buffs, Lille is home to the Musee d'Art Moderne and the Palais des Beaux Arts. Children will enjoy the Parc de Zoologique. Savvy travellers know that Lille has a fine public transit system, making this historical hotspot a pleasure to visit.

Surrounded by one of Germany's largest wine-growing regions, Stuttgart beckons cultural junkies with its acclaimed ballet, opera and philharmonic, while car fans get revved up over the Mercedes Benz Museum. There's more green space than urban sprawl in the festival-friendly city, home to Europe's largest combined zoo and botanic garden, the Wilhelma. The Württembergisches Landesmuseum, in one of the city's oldest structures, traces the area's history from the Stone Age. Buses or metro provide handy transport.