different mediums

The types of stories best suited for short stories are stories that are short. Seriously. Think about the beginning of your story. Now think about the ending of your story. If that feels like a long way off, it's not a short story. That's pretty much the only way to pre-judge it. You might even be wrong. I could bullshit you and say "science fiction" because just look at Twilight Zone - and most of those were based off of already existing short stories - but it's just not the way it works. Short stories are necessarily short, the same way epic novels aren't shorter because the plot demands the books' girth.

There's a stronger argument to be made for the stage. Depending on the type of stage work we're talking about. Lion King was made into a stage production, if you get creative you could probably do anything. However it wouldn't hurt if you say... did a story about 12 people, arguing in one room alone together for a couple of hours. Dialogue heavy stories, with minimal locations and limited casts are natural stage productions.

But I'd be surprised if I'm telling you anything you don't already know.

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There's no such thing as the establishment. Everyone knows that!