My friends Karen Dietz and Lori Silverman have just developed a nice, free resource — a seven-page handout, Narrative Forms and Stories: Narrative Forms Chart, which you can download from here.
The question of what is and isn’t a story has been a particularly hot topic 
among practitioners in the past year or so, and this resource enriches that conversation. The piece discusses the full story, anecdote, case study, description, example, news report, profile, scenario, testimonial, and vignette. Here’s the intro:
Not every narrative is a story. … Several [narrative forms] are often mistaken for stories. The examples of how a story changes into a non-story, or a particular type of story, are in the following pages…