Known as New York's tough neighbour with a major international airport, Newark is a destination in its own right. The city is undergoing revitalisation efforts and its attractions include several large parks, art galleries and architecturally significant buildings. The Newark Museum is a complex of art and science exhibits, a mini-zoo, a planetarium and more. Theatre, music and dance performances take place at venues such as the New Jersey Performing Arts Center and Newark Symphony Hall.

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.

It seems like most folks have a grandmother, great-uncle or some other distant relative that used to live in Brooklyn, or perhaps a friend that lives there now. In the early 1900s, it was a mecca for immigrants arriving via Ellis Island. A hundred years later, young professionals and artists left pricey Manhattan digs for Brooklyn's cheaper and more expansive space. Neighbourhoods like Brooklyn Heights and Park Slope, which had fallen into disrepair over the years, were restored and reborn as funky enclaves. Walk or bike over the historic Brooklyn Bridge (or ride the subway) to Brooklyn Heights for a stroll along the Promenade and breathtaking views of the Manhattan skyline. Meander through Prospect Park and the Brooklyn Botanical Gardens for a taste of nature in the urban wilds. Catch a performance at the world-famous Brooklyn Academy of Music. From the delicious Italian restaurants of Bensonhurst to the Irish bars that line the avenues of Bay Ridge, from the hotdogs and rollercoasters of Coney Island to the bagels and handball courts of Greenpoint, Brooklyn is a state of mind as well as a dynamic community. Discover why, no matter where people move on to, they remain Brooklynites at heart.

Queens is the most ethnically diverse area of its size on Earth, which means there's a little something for everyone. Chow down on Indian food, sit in on a traditional Irish pub music session, and dance the night away at a Puerto Rican nightclub, all of it located within a few subway stops. Queens is also the home of the Mets and the US Tennis Open, and the former home of the New York World's Fair, now Flushing Meadow-Corona Park, and Paramount Pictures, now the Museum of the Moving Image.

From Shoreditch’s swaggering style to Camden’s punky vibe and chic Portobello Road, London is many worlds in one. The city’s energy means that no two days are the same. Explore royal or historic sites, tick off landmarks from your bucket list, eat and drink in exclusive Michelin-starred restaurants, enjoy a pint in a traditional pub, or get lost down winding cobbled streets and see what you stumble across – when it comes to London, the possibilities are endless.

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.

Copenhagen is one of Europe’s oldest and most popular cities. It’s also one of the cleanest and most metropolitan. The dynamic Danish capital features progressive modern architecture, the must-visit Tivoli Gardens amusement park, stunning palaces, and all the activities and amenities you would expect in a world-class destination. Explore the canals and pretty narrow streets, appreciate beautiful old homes, and find great shopping and people watching on The Ströget.

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?

Catania has been a prize of many empires over the centuries, from Greeks to Romans to Arabs to Normans to Spaniards (to name a few). But its citizens have a more dangerous enemy right in their backyard—Mount Etna, Europe's largest and most active volcano, which destroyed the city with earthquakes and lava flows in 1693. Look closely at the baroque buildings dating from after the eruption—you'll notice a creative use of lava.

One of the three principal islands of the Maltese archipelago, the island of Malta is the largest of the chain. Its capital Valletta, a lively, bustling city with many buildings dating back to the 16th century, teems with cathedrals, palaces and forts. The impressive Grand Harbour offers a dramatic arrival. The top archaeological attraction is the UNESCO-designated Hypogeum temple ruins, a macabre, 5400-square-foot underground necropolis and the world's only underground prehistoric temple.