Autobiographical account. If the person is writing about their own life, this term can be used. It focuses on the fact that it is an account written by the person themselves about their own experiences in life.
Life chronicle. A chronicle is like a record of events in the order they occurred, so a life chronicle would be a record of a person's life events over time.
Life tale. 'Tale' gives a sense of it being a story, much like a life story. It can be used in a more creative or fictional - like sense to describe someone's life journey, perhaps emphasizing the more interesting or unique aspects of their life.
Bedtime narrative.
Sure. 'The finale', 'wrap - up' and 'cessation' can be used instead of 'end of story'.
Wrap - up. This is a more informal way to say the end. Just as a movie or a project has a wrap - up at the end, when you say 'wrap - up' in the context of a story or an explanation, it means it's over. For example, 'So, that's the wrap - up of what happened yesterday.' It's a handy alternative to 'end of story'.
Recounting a tale.
Built on a factual event.
There are expressions like 'weave a tale' and 'construct a story'. When you 'weave a tale', it's like you are carefully putting together the different parts of the story as if it were threads in a fabric. 'Construct a story' gives the idea that you are building the story from different elements, like building blocks. These expressions are a bit more creative than just 'tell story'.
In stories, 'lengthy duration' is a good alternative for 'long time'. Let's say in a science - fiction story about space travel, the journey might take a lengthy duration. 'Substantial period' is also a possibility. In a detective story, the investigation could take a substantial period of time. Additionally, 'extended time frame' can be used. For instance, in a story about the evolution of a species, it might occur over an extended time frame.
You could say 'personal narrative' or 'biographical account'.
Autobiographies. These are self - written accounts of a person's life, which are essentially life stories written by the person themselves.