Heimaey is the largest of the Westman Islands, just off the south west coast of the Icelandic mainland. The jagged landscape is a reminder of the island’s volcanic origins; the most recent eruption, back in 1973, created the volcano now known as Eldfell, which looms over the island.

Pretty Stykkishólmur is the largest town on the Snæfellsnes Peninsula, on a natural harbour looking out towards the islands of Breiðafjörður Bay. The town’s colourful 19th-century wooden houses have been lovingly restored, and nearby attractions include Mount Kirkjufell and Snæfellsjökull National Park..

Patreksfjörður is the largest village in the southern part of the Westfjords, and was named after St Patrick of Ireland. From here it’s easy to visit attractions including the famous Látrabjarg cliffs, home to thousands of nesting seabirds, and the dramatic Dynjandi waterfall.

Akureyri is Iceland’s second city, though with just 18,000 inhabitants it’s really more of a small town. Situated on the north coast at the head of Iceland’s largest fjord, it’s a cute and quirky place that also serves as a base from which to explore the bubbling mud pools and lunar landscapes around Lake Mývatn.

The remote island of Grímsey lies some 25 miles to the north of the Icelandic mainland, straddling the Arctic Circle. This weather-beaten place has a year-round population of just 60 people, and humans are far outnumbered by the thousands of seabirds that nest on the cliffs, including puffins and Arctic terns.

Seyðisfjörður is one of the highlights of Iceland’s Eastfjords, a cute collection of colourful houses at the head of a dramatic fjord. The backdrop of snowy mountains and cascading waterfalls makes this one of the most picturesque ports in Iceland, and the town is surprisingly cosmopolitan.

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.

Lerwick is the only town of any size in the Shetland islands, and originally grew up around the herring trade. Highlights include the charming 18th century architecture along the waterfront and the informative Shetland Museum, which provides an excellent introduction to the history and culture of the islands.

Fair Isle is the UK’s most remote inhabited island, lying roughly halfway between Shetland and Orkney. The island is tiny, just 3 miles by 1½ miles, and is renowned for its traditional knitwear. It’s also a birdwatching hotspot, serving as both an important breeding ground for seabirds and as a stopping-off point for migrant species.