Here are some other terms that are similar in meaning to "personal story":
* Personal narrative: This emphasizes the storytelling aspect.
* Life story: This is often used for a more comprehensive account of a person's life.
* Memoir: This implies a more literary and reflective approach to personal storytelling.
* Autobiography: This refers to a written account of a person's life written by that person.
The best term to use will depend on the specific context and the nature of the story.