Just seven miles off the coast of Cape Cod, the island of Martha’s Vineyard is a world apart from the mainland, with no chain restaurants or motels in sight. A-listers and other well-to-do types have their summer boltholes here, attracted by the Vineyard’s arty vibe, pretty beaches, rolling hills and friendly locals.

Boston is one of the oldest cities in the USA, and in amongst the skyscrapers are plenty of red-brick buildings, a Georgian architecture that lends the city a distinctly European feel. Boston is also home to a wealth of cultural riches, including the superb Museum of Fine Arts, as well as the world famous Harvard University.

Bustling Bar Harbor is the gateway to Acadia National Park, and a popular port of call for cruise ships. The town is quaint if a little touristy, filled with souvenir shops and cafés, while the National Park offers a beautifully rugged landscape of mountains and lakes, crisscrossed by hiking trails.

The natural harbour at Halifax is the second largest in the world after Sydney, and this charming city has a proud maritime heritage. Take a stroll along the historic waterfront, delve into the vibrant arts scene or explore the beautiful coastal scenery of Nova Scotia.

Sydney is the only real city on Nova Scotia’s beautiful Cape Breton island, a former steel and coal town that is reinventing itself as a cultural and culinary hub. The revitalised waterfront area is particularly appealing, and there are some interesting Loyalist-era buildings in the city’s North End district.

Greenland’s capital and largest town, Nuuk is positively cosmopolitan compared to the rest of this remote and isolated country. The setting amongst mountains and fjords is striking, and attractions include the Greenland National Museum and the picturesque Old Harbour.

Ísafjörður is the largest town in Iceland’s wild Westfjords, dramatically located on a spit of sand hemmed in by mountains on three sides. The town itself is fairly low key, and the main attraction is exploring the surrounding landscapes, such as the spectacular Hornstrandir Peninsula.

Capital of Iceland and gateway to this extraordinary volcanic island, modern Reykjavík is home to an impressive collection of interesting attractions and places of historic significance. Visit the impressive Hallgrímskirkja church, relax in a thermal pool, potter around the old harbour, and enjoy 24 hour daylight in the summer months.

This little fishing village enjoys a fine setting amongst Iceland’s Eastfjords, looking out across the water towards the dramatic Hólmatindur mountain. Life here has always been shaped by the sea, and you can learn more about Eskifjörður’s history at the interesting Maritime Museum.

Tórshavn, named after the Norse god Thor, is one of the world’s smallest capitals, with a population of just 20,000. The brightly coloured facades and turfed roofs lend the harbour an attractive, storybook quality, and the narrow streets are home to some atmospheric pubs and cafés.

The flat, windswept Orkney Islands, just off the northeast coast of Scotland, have a distinctive Scandinavian heritage that’s discernible in everything from the unusual place names to the ancient Norse architecture of the capital, Kirkwall. Don’t miss the Ring of Brodgar, a fascinating Neolithic stone circle.

The Isle of Skye is one of Scotland’s most popular tourist destinations, thanks to a spectacular landscape of jagged peaks, misty moors and glassy lochs. The island’s biggest town is Portree, a pleasant little place with a colourful harbour.

The 1998 Good Friday Agreement was a watershed moment for Northern Ireland, and its rejuvenated capital is enjoying a surge in popularity. The new Titanic Belfast museum is the star attraction, while the city centre boasts some handsome Victorian architecture and a lively pub scene.

Gritty Glasgow is Scotland's largest city, renowned for its culture, style and the friendliness of its people. With internationally-acclaimed museums and galleries, stunning architecture, vibrant nightlife, fantastic shopping and a diverse array of restaurants and bars, Glasgow has something for everyone.

The city of Dublin has something for everyone with great shopping, beautiful Georgian architecture, lovely parks, galleries and museums. Everywhere you go you will be bowled away by the jovial Irish welcome. Don’t miss the chance to sample a local pint of Guinness.

Few British cities can match the historical and cultural significance of Liverpool. The famous docks have been transformed in recent years, and are now home to the Tate gallery and a museum honouring the city's most famous sons, the Beatles.

Fishguard holds the unusual distinction of being the site of the last invasion of Britain by a foreign power; a band of 1,400 French revolutionaries landed here in 1797, and were promptly repelled by the locals. The surrounding countryside is also full of history, with a plethora of impressive medieval castles.

Waterford is Ireland’s oldest city, over 1,000 years old, with a fascinating Viking and Norman heritage that is still discernible in the narrow streets of the ‘Viking Triangle’. The city is also famous as the home of Waterford crystal, and the glass-making industry here dates back to the late 18th century.

The windswept Isle of Portland is connected to the mainland by Chesil Beach, which curves west for 18 miles along the Dorset coast. The island is famous as the home of Portland stone and is rich in bird life, while just next door is the resort town of Weymouth, with its pretty Georgian harbour.