If you tell stories out loud, in front of an audience, whether around a campfire or in a classroom, at a board meeting, or in the car, you're a storyteller.
Storytelling is part of the oral tradition. Tales are told-- which is why this category is part of the Performing Arts Directory.
If you WRITE stories, you're a writer. Check out the Arts: Online Writing category.
Yes, filmmakers and novelists and the creative folks in advertising are storytellers, too-- but they aren't performing artists. You'll find them listed elsewhere.
Heather Forest's site for teachers, librarians, and students explores the use of storytelling in the classroom to enhance speaking, listening, reading and writing skills. www.storyarts.org