* Fables: These are short stories that often feature animals with human-like qualities and always end with a moral.
* Parables: These are stories told to illustrate a moral or spiritual truth.
* Folktales: These are traditional stories passed down orally and often contain moral lessons.
* Fairy tales: These are stories that often feature magical elements and often have a moral message.
* Aesop's fables: These are a specific type of fable attributed to Aesop, a Greek storyteller, that are known for their short, easily understood morals.
You could also call them:
* Moral tales
* Instructive stories
* Stories with a message
The specific term used will depend on the specific story and the intended audience.