Well, another word could be 'recount'. When you recount something, you are basically telling a story. For example, you can recount your adventures during a trip. It implies that you are going through the events in a sequential way, much like when you tell a story. You might share the details, the people you met, and the things you did.
Relate can also be used as another word for tell a story. To relate a story means to communicate it to others. It can also suggest a connection between the storyteller and the story, as if they are personally involved in some way. For instance, when you relate a family story, you are not just telling it but also sharing a part of your family's history and your connection to it.
In a formal setting, 'portray' can be used instead of 'tell a story'. When you portray a story, you are presenting it in a more sophisticated and detailed manner. For example, in a historical research paper, you might portray the events of a particular era as a story to make it more engaging for the readers. It gives a sense of carefully crafted presentation.
Depict. Although it's more often associated with visual representation, it can also be used in the context of telling a story. We can depict a story through words, painting a picture with language much like we do when we tell a story. For instance, a writer can depict a historical event in a fictional story to make it more engaging for the readers.
Denouement. It is a French term that has been adopted into English to specifically mean the final part of a story where all the loose ends are tied up, secrets are revealed, and the story reaches its final resolution. It often comes after the climax of the story and is a more literary or sophisticated way of referring to the end of a story.
An excellent yarn. This is a more informal way to say a good story. For instance, sailors used to tell excellent yarns about their adventures at sea.
Recounts. When you recount something, you are giving an account of it, which is another way of saying you are telling the story. For instance, a veteran might recount his war experiences, meaning he is telling the story of his time in the war.
Well, 'narrative' is another word for story. It's often used to describe a sequence of events or a tale.