The Faroes Islands are part of Denmark. Apart from they have their own currency, their own stamps, their own prime minister, they have their own flag, they aren't part of the EU. That makes the Faroes a country it's own right in my book.
I've been to a lot the world, but there's nowhere quite like the Faroes. The landscape is amazing, with towering cliffs dropping vertically down into the ocean, sea stacks around almost every corner, islands that are the shape of a ski jump but with a lush grass covering. Then there's the weather. You can get all four seasons in a few minutes.
Another interesting aspect of life on the islands are the tunnels. There are a number of rather long tunnels that have been cut out (two of them are underwater ones, that link the islands), and a few of them are single carriage way and unlit, and we're not talking about a couple of hundred metres here - they are kilometres long!
Just about every village on the island has a church, and these are usually the oldest building, so they use the traditional techniques of wood (even though there are very few trees on the islands), and grass roofs. This makes the buildings blend into the countryside!
I guess the only downside is the cost, eating and sleeping on the islands are rather expensive. However if you get the chance to visit, then go - I don't think you'll regret it.