One common theme is survival. The characters are stranded on an island and have to find ways to get food, water and shelter. Another theme could be self - discovery. Being isolated from the normal world, they learn more about themselves. Also, there can be themes of friendship or even love if there are other people stranded together.
Well, a frequent theme is the battle against nature. Stranded on an island, the characters face all sorts of natural challenges like storms, wild animals, and difficult terrains. Then there's the theme of hope. They keep hoping for rescue or a way to get off the island. And sometimes, there's a theme of transformation. The experience on the island changes them completely, making them stronger or more resourceful.
Common themes in island stranded cum fiction stories include resource management. Since they are cut off from the outside world, they have to manage the limited resources on the island. Another one is the exploration of the unknown. The island is a new and mysterious place for them. They might discover new species or hidden secrets. There's also the theme of human nature. When in a difficult situation like being stranded, different characters' true natures come to the surface, whether it's greed, kindness or courage.