Fable – narration demonstrating a useful truth, especially in which animals speak as humans; legendary, supernatural tale
Fairy tale – story about fairies or other magical creatures, usually for children
Folklore – the songs, stories, myths, and proverbs of a people or "folk" as handed down by word of mouth
Legend – story, sometimes of a national or folk hero, that has a basis in fact but also includes imaginative material
Mythology – legend or traditional narrative, often based in part on historical events, that reveals human behavior and natural phenomena by its symbolism; often pertaining to the actions of the gods