In a formal context, 'recounting an account' can be used. It gives the idea of carefully and accurately telling the story as if it were an official account. For instance, in a historical research paper, one might recount an account of an event from the past. It implies a certain level of seriousness and precision in the way the story is being told.
Another formal way is 'delivering a chronicle'. A chronicle is a record of events in order, so when you deliver a chronicle, you are essentially telling a story in a very organized and perhaps historical or important - sounding way.
Depict events. In a business presentation about past projects, you can depict events that took place during the project's lifecycle. This is a way to tell the story of the project in a more professional and organized manner.
Pre - history. In a formal discussion, especially when analyzing historical events or characters, pre - history can be used to mean back story. It refers to the events and circumstances that happened before the main event or situation under consideration.
Depicts. In a formal writing or speech, we can use 'depicts' instead of 'tells the story'. For example, a historical research paper may depict the events of a certain era, which is like telling the story of that time in a more academic and formal way.
Deliver an anecdote. In a formal setting, delivering an anecdote is a more refined way of telling a story. An anecdote is usually a short and interesting story about a real incident or person. It can be used to illustrate a point, make an argument more persuasive, or just add some color to a speech or presentation.
You can also say 'relating a story'. This implies sharing or communicating a story in a more connected way, as if you are relating the events to someone. It gives a sense of building a connection between the story and the listener. For example, when you relate a story from your childhood, you are not just telling it but also making the listener feel as if they are part of that experience or at least understand it on a deeper level.
Narrate the identical account.
In a formal setting, 'depicts the story' can be used.
A chronicle of triumph.
Love's chronicle. Just like a chronicle records historical events, a 'love's chronicle' can be seen as a record of the events in a love relationship, in a rather poetic and grand way.
Depicts a narrative.