- Fetlar is actually not a city, but an island in the Shetland Islands of Scotland. It is the fourth-largest of the Shetland Islands, and is known for its scenic landscapes, beautiful beaches, and rich wildlife. The island has a small population and is mostly agricultural, with sheep farming being a major industry. There are no major urban areas on Fetlar, but it is a popular destination for nature lovers and those seeking a tranquil getaway.