to tell a bad story, it may not be a story just a fragment of you life. zarrillis are usually funny to the person telling the story but not to the listeners.
This is a recent zarrilli i heard...
story teller: "yo my brother chris was looking for his shoes in the trunk and he almost found the hoodies that he is getting for x-mas"
listener: "dude that story sucked"
story teller: "giggle, giggle. shut-up! (in a high pitched voice)"
to tell a story with no apparent meaning and is not funny in any way
i was telling a story and at the end my friends started chanting "good story nate, tell it again..." i was very embarrassed because i realized my story was a zarrilli