Dairy writing can become a good stories when the dairy writer is a good storyteller, which is often the case. Some of the best stories in history have been taken from, or inspired by, personal diaries of remarkable people.
Fiction narratives also lead to good stories because telling a story is the main purpose of that type of writing method.
Finally, nonfiction narratives can also be good stories if the writer is good at it. Nonfiction can simply narrate a historical event that did happen in real life with some of the attributes and methods of fiction narratives.