When thinking about stories, and about "alternative" kinds of stories in particular, it raises a question about what does or doesn't count as a story. Some might say a story has to have a beginning, middle, and end. Some might say it has to involve a series of related events building to some sort of climax. But as with any art form (if you do, in fact, consider storytelling to be an art form, which I think we all do) one can no sooner try to elaborate a set of rules or condition by which we judge something to be a story than someone comes along and proves them totally wrong.
So it's probably best to just treat it as though there are no rules at all.
There are elements that typically comprise a story, sure, like characters, scenes, a plot, a setting, things like that.
Are jokes stories? Surely the longer ones are, ones with characters and arcs and climactic punchlines. But what about one-liners? What about knock-knock jokes? A knock-knock joke has a beginning, middle, and end, and assumes at least two characters, each on either side of a door (setting).
What about other things? Particularly in this age of information and innovation, isn't there room for the emergence of yet more types of stories?
Have you ever read an argument that takes place in a Youtube comments section? Or under someone's Facebook status? It's not fully explicit, but between the lines is usually some kind of a story playing out. They're brief, snarky, and sometimes vulgar, but often thoroughly funny AND they tell you a lot about the characters involved.
The largest collection of examples of this that I know of exists at this website: http://failbook.failblog.org/
Not as big of a time waster as Facebook itself, but I did end up going through several pages.
More good ones here: http://runt-of-the-web.com/nine-hilariously-awkward-facebook-interactions