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.

<p>Lisbon, the capital city of Portugal, has become an increasingly popular place to visit in recent years, with a warm Mediterranean climate in spite of its place facing the Atlantic Ocean. Full of bleached white limestone buildings and intimate alleyways, Lisbon's mix of traditional architecture and contemporary culture makes it the perfect place for a family holiday. </p><div>Things to do in Lisbon </div><p>As Portugal's capital, there is a lot to see and do in Lisbon. Even exploring the city centre will take a few days out of a family holiday as there is no real central district, although Praça do Comércio is a good central place to start, in Baxia, or Rossio, the city's main square which has a sort of Trafalgar Square feel to it. Or you might try climbing up the Cristo Rei, a huge statue of Christ with spectacular views across the whole city. The Castelo de São Jorge also offers great views and isn't quite such a steep climb. A short tram ride to the west of Lisbon will also bring you to Belem, where you can explore attractions like the Belem Tower and the Belem Cultural Centre, which features a fantastic art collection including works by Dali, Picasso, Warhol and Magritte. In downtown Lisbon, you'll also want to visit the Gulbenkian, which has to be Portugal's answer to the British Museum full of fascinating cultural artifacts and with some superb gardens in the grounds. It's possible to have a fascinating educational family holiday in Lisbon, and there are also plenty of great beaches to work on your tan. </p>

Originally founded as a Roman city and now home to three UNESCO World Heritage Sites, Seville is bursting with antique charm. The Alcazar palace complex is a stunning collage of architectural styles, and the Cathedral will impress you with its beauty and its status as the burial site of Christopher Columbus. The Metropol Parasol is the world’s largest wooden structure, a massive mix of grids and swirls that contains a market and a terrace observatory.

Everyone who visits Paris for the first time probably has the same punchlist of major attractions to hit: The Louvre, Notre Dame, The Eiffel Tower, etc. Just make sure you leave some time to wander the city’s grand boulevards and eat in as many cafes, bistros and brasseries as possible. And don’t forget the shopping—whether your tastes run to Louis Vuitton or Les Puces (the flea market), you can find it here.

Amsterdam is truly a biker’s city, although pedaling along the labyrinthine streets can get a little chaotic. Stick to walking and you won’t be disappointed. The gentle canals make a perfect backdrop for exploring the Jordaan and Rembrandtplein square. Pop into the Red Light District if you must—if only so you can say you’ve been there. The Anne Frank House is one of the most moving experiences a traveller can have, and the Van Gogh Museum boasts a sensational collection of works.

Stroll Las Ramblas and enjoy Barcelona's unique blend of Catalan culture, distinctive architecture, lively nightlife and trendy, stylish hotels. You'll find Europe's best-preserved Gothic Quarter here, as well as amazing architectural works by Gaudi. La Sagrada Familia, considered Gaudi's masterpiece, is still under construction (your entrance fee helps to fund the project). Feel like a picnic? Look no further than the rambunctious La Boqueria market, where you can stock up on local delicacies.

The shores of Lake Geneva have attracted visitors and invaders for millennia. The cheerful city of Geneva sits on the lake's western shore, lofty snowcapped peaks creating a gorgeous backdrop on all sides. The city is perfect for exploring on foot; hire a bike to venture further. At the top of any itinerary should be visits to Geneva's lakefront and its famous fountain, the Flower Clock in the English Garden, St Peter's Cathedral, Reformation Wall, Place Neuve and the birthplace of the UN.

The largest city in Switzerland is a major contemporary art and shopping destination. Important artworks are displayed in the Kunsthaus and the Rietberg Museum. Those who consider shopping an art can hone their skills along Bahnhofstrasse and Niederdorf. Chagall's stained-glass windows in the Fraumünster amaze. Zurich's 500 clubs and bars, including several in swimming pools, pulse with life till the early hours. This city on Lake Zurich has excellent public transport and a free bike-hire system.

History lovers should know that Milan is not all about trendy shops and designer clothes. Among the city's many historical attractions are La Scala Opera, the Milan Cathedral, the National Museum of Science and Technology and Santa Maria della Grazie, the church that preserves da Vinci's "Last Supper".

If you currently think your neighbourhood coffee shop is nice, you might want to stay out of Vienna’s coffeehouses. After you’ve gotten used to these palatial, yet welcoming cafes—and their delicious coffee and Sacher torte—your local café will pale in comparison. Between coffee breaks, visitors can explore Vienna’s Schonbrunn Palace and Imperial Palace. And if you have a chance, catch a performance at the State Opera House—it’s not to be missed.