Yes, my favourite is Alan Moore's. (If we're not counting my icon.) But they're quite versatile, aren't they....
Romance: "I never promised." "I believed anyway."
Porn: Sorry. There are too many cocks!
Thriller: Secrets destroyed -- shredded paper and brains.
Genre: The spaceships landed. We all ran.
Comedy: Is there really a toenail fairy?
Coming of age: I turned my parental tracer off.
Horror: They said silver would work. Bastards.
I can do fanfic as well...
Charles/Erik:* He felt safe underneath the helmet. Charles let him.
Moon/Zao:* The diamonds are sharp and cold, like your touch.
Origin stories are always necessary, right?
Clark: No one else could taste sunlight.
Bruce: They died more slowly in nightmares.
Diana: Just don't ask what Hippolyta traded.
Dick Grayson: Green. Red. Green. Red. Red. Red.
Dexter: Magnificent moon, magnified in Harry's knife
*(Actually a 9 word story. Oops.)
This format amuses me, obviously. The six word story only works because the person reading is capable of filling in all the blanks, of creating a story themselves around the mere suggestion the author provides.
Want one? Give me a character and get 6 words, give me a pairing and get between 6 and 12.