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.

The vibrant maritime city of Portland is a culinary and cultural hotspot, with some fantastic restaurants, a thriving craft beer scene and a host of trendy galleries and shops. Lobster lovers will be in heaven, while history buffs will enjoy strolling the handsome Victorian streets of the Old Port district.

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.

Qaqortoq is southern Greenland’s largest town, though with just 3,000 inhabitants it’s hardly crowded. A trip to the nearby hot springs at Uunartoq is recommended; relaxing in the 38°C water and watching icebergs drift across the bay is quite something.

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.