You can tell the same story through different mediums. For instance, it could be a written story in a book, a spoken story in a podcast, or a visual story in a movie or a comic. In a written story, you can use rich descriptions of the setting and characters. In a podcast, the tone of voice and pacing can create different moods. A movie or comic can use visual elements like colors and images to convey the story in a unique way. Also, changing the genre can be a different way. A horror version of a story might focus on the scary elements, while a comedy version would emphasize the humorous parts.
One way is to change the point of view. For example, if it's a story about a journey, you can tell it from the perspective of the traveler, or from the view of someone waiting for the traveler at home. Another way is to use different narrative tenses. You can tell it in the past tense, present tense or even future tense to give different feelings. And you can also vary the level of detail. A detailed version might focus on every little event during the story, while a more concise one only highlights the key points.