Some other names could be 'Exclusive Episodes', 'Private Pages', or 'Confidential Chronicles'. These names give a sense of something that is only for a select few or for your own personal records. For example, 'Confidential Chronicles' implies that it's a collection of stories that are private and perhaps a bit like a journal that you don't want everyone to see.
'Secret Scribbles', it gives the feeling of a personal and hidden collection of stories. Another one could be 'My Little World Tales' which implies that it's a space for your own unique stories. And 'Hidden Happenings' also sounds really cute for a private story.
Another option could be 'Intimate Narratives'. This name implies that the stories are something private and close to you, and it has a bit of a mysterious and alluring feel to it.
Some fun names might be 'Exclusive Escapades' or 'Personal Pandemonium'. The idea is to choose a name that reflects the private and unique nature of the story. For example, 'Secret Scribbles' gives the impression of a personal journal where you jot down your thoughts and experiences that are only for you or a select few. 'My Hidden Chronicles' is also a good one as it implies a series of events or stories that are hidden away from the general public, much like a private story should be.