Stories have 4 types what are Myth,Legend,Fairy Tale and Fable.
Myths are stories that can explain natural phenomena for example Maui and the sun is a myth since it talks about the slow sun.
Legends are stories that talk about a person or an event, for example The Legend of the Beast Nian – Origins of Chinese New Year is a legend since it talks about the beast of nian.
Fairy tails are stories that talk about a magical animal,creature, for example the tooth fairy because its a magical animal,creature
Fables are stories that teach lessons for example the wolf and the crane because it tells not to trust people.
There are many story types, and all of them do different things or tell different things.