Viðey is an island in a Kollafjørður fjord in the Reykjavík area easily reachable by ferry. Viðey was inhabited for a very long time. Actually there are archeological remnants dating back to the 10th century. In the 19th and in the beginning of the 20th century it was quite a living fishing village. It all ends with the great depression in the first half of the 20th century. From there on, Viðey is uninhabited.
There is a Peace tower built by Yoko Ono a white tower radiating a blue ray of light each year between 9th of October and 8th of December.
And FIY, the Viðey house is is one of the oldest stone houses in Iceland.
It is popular destination for families, and even Reykjavík is not a real noisy city, the atmosphere on Viðey is really calm and you can feel the difference