You could also use the word 'account'. It implies a detailed description or record of a particular event or series of events, similar to a story. Like, 'an account of a journey'.
Another word that means story is 'tale'. It usually refers to a fictional or traditional story. For example, 'fairy tales' are a common type of tales.
The word 'dirge' can also mean a sad story or a lament. It often refers to a song or poem that expresses grief or mourning. Like in some ancient cultures, a dirge would be sung to commemorate the dead, and it was usually full of sorrowful tales about the person who passed away.
The word could be 'narrative'. It simply refers to a story or account of events.
The word could be 'narrate'. It simply refers to the act of telling a story.
Yarn. While it can also mean a long or rambling story, it can be used to describe a funny story as well. For instance, an old sailor might spin a yarn about his adventures at sea that are filled with humorous and outlandish events.
I think the word you might be looking for is 'recount'. It implies giving a detailed account or description of a story or event that is related.
The word could be 'fantasy' or 'myth'. These often refer to stories that are beyond normal belief or reality.
Another word might be 'ditty'. It can mean a short, simple story or song. Sometimes, it's used to describe something light and easy to follow.
One such word could be 'bibliophile'. While it more directly means a lover of books, since books are full of stories, a bibliophile can be seen as a lover of stories as well.
One such word could be 'narratophile'. This term describes a person who has a passion for narratives and stories. Usually, they enjoy reading, listening to, or sharing various types of stories.
A fable is a word that typically refers to a short story that conveys a moral or lesson.