To begin with, this is not a magic Lost/Avatar-kind of island!
I am Greek from another island and I can confirm that Icaria is a very interesting place.
However I think there are two aspects that are mistaken (even by me until recently). People are living a relaxed life but not a work free or "easy" life. They work hard and they live with less modern world amenities than most of us reading this article. The second (less important) is about the diet but this is a long discussion.
IMO what they do lack is everyday stress and pressure from people around them.
I also expect that there are other similar places around the world that I would like to meet.