France owns a small island off the coast of Newfoundland that is entirely comprised of rock (St. Pierre). The streets are carved into the rock, and instead of cemeteries, inhabitants carved tombs into the island which are there to this day.
Niihau, the 7th largest island of Hawaii is completely privately owned by one family who seeks to maintain it as it was purchased in 1864 for $10,000 in gold, including the native population.
There is an island in the Scottish Hebrides that is owned entirely by its people. With a population of 83, the Isle of Eigg has been owned by its community since being bought in 1997, after decades of issues with absentee landlords, and generates 100% of its electricity using renewable energy.
There is an island known as “Just Room Enough Island” that has just enough room for a tree and a house.
Pheasent Island is jointly owned by France and Spain, for six months alternatingly.
There’s a random island off of the east coast of Canada called Random Island.
Hans Island is a disputed territory between Canada and Denmark. When the Danish visit, they leave a bottle of Schnapps for the Canadians. When the Canadians visit, they leave a bottle of Canadian Club for the Danish.
There is an underwater island that Sicilian divers have planted a flag in for when it breaches the surface.
Unclaimed dead in NYC are buried in a mass grave on an island run by the Dept. of Corrections and staffed by convicts; Over 50,000 bodies are buried there and the press isn’t allowed to enter.