General terms:
* Rhymed story: This is the most straightforward and simple way to describe a story written in rhyme.
* Rhyming tale: This emphasizes the story aspect and the use of rhyme.
* Poetic narrative: This suggests a more literary and potentially elevated style.
Specific terms:
* Ballad: A traditional, often folk-like, story song with a strong narrative focus and usually a tragic or romantic theme.
* Epic poem: A long, narrative poem with a grand scope, often telling of heroic deeds or historical events.
* Verse narrative: A general term for a story told in verse, which can include different rhyme schemes and structures.
* Limerick: A five-line humorous poem with a specific rhyme scheme (AABBA). While not a full story, it can be a humorous anecdote.
More descriptive terms:
* Rhyming adventure: If the story is about adventure.
* Rhyming mystery: If the story is a mystery.
* Rhyming romance: If the story is a romance.
Ultimately, the best way to describe your story depends on the specific content and style. Consider what aspects of the story you want to emphasize when choosing a name.