Courtesy demands a certain amount of credit, and ethics demands you not retell a story as if it happened to you-unless it really did.

They retell the story from their own perspective.

I'm going to retell the story.

He called his soundtrack a translation of the text of the game and sought to retell the story through music.

In another version, the answerer claims to have a story in mind and the questioners are to attempt to obtain and retell the story via twenty questions.