Isafjordur, the "capital" of the fjords of Western Iceland, is nestled on a sandbank and has an end-of-the-world feel about it.
My suggestion
If a resident offers you a drink, accept it and listen to the stories they tell you! Seriously, spend a night there so you can enjoy the evening, and, if the weather permits, admire the reflection of the setting sun over the fjord.
Landmannalaugar is one of the most beautiful parts of Iceland. It is located inland, and was used as a training area for American astronauts before the first moon landing. It is a perfect place for hiking, through magnificent landscapes.
Hiking in Iceland is a dream for anyone who loves nature trips. The only problem is that Iceland, a victim of its own success, is starting to be overrun by travellers! Hiking around the Golden Circle and Jokulsarlon is so popular that in order to be a responsible traveller, one must dare to go and look further... Myvatn, in the north of the country, is a good alternative. So here's a quick rundown
Only open when the centre of the country is no longer under snow, Route F35 is one of the most legendary in Iceland: rocky and wild, it winds its way through the most desolate and mountainous regions of the island. An exceptional road trip of discovery during the summer months!
The peninsula of Snæfellsnes, made famous by Jules Verne's novel Journey to the Centre of the Earth, contains most of Iceland's magnificent landscapes and is just a few hours' drive from the capital. In one day—or two, if you have the time—, you can discover superb panoramic views and various natural places of interest.