Some Islands are parts of continents (high points in the continental shelf) eg The British Isles.
Some Islands are parts of continents that have become detached during continental drift (eg Seychelles or Madagascar)
Some Islands are unrelated to continents and result from oceanic plate processes (eg Hawaii).
Some Islands are a result of the interaction between continental and oceanic plates (eg some of the Caribbean Islands, Japan and Cyprus).
Islands in an ocean don't belong to any continent. If they were part of a continent they wouldn't be islands would they? The African Continent is the continent nearest the Canary Islands, but the islands are the result of volcanic activity on the ocean floor.
Asia
Tasmania
The Shetland Islands, which are part of the United Kingdom, are in the continent of Europe.
Tori Shima islands are part of Japan, making them part of the continent of Asia.
north America by Indy
New Zealand is an Island Nation and not a part of any continent.
Alaska is part of the North American continent. Hawaii is a chain of islands in the Pacific Ocean, so it is not considered to be part of any continent. Instead, it is part of Oceania, a region centered on the islands of the tropical Pacific Ocean.
Asia
Tasmania
the Solomon islands are not part of a continent they are islands formed by volcanic activity and there are still many active volcanoes among them.
Because Maui is part of the chain of Hawaiian islands, it is not considered to be part of any continent. It is part of Oceania, along with other islands in the Pacific Ocean. It is considered part of the USA because Hawaii is a state.