My stories are usually just told on the spot that usually relate to what we are talking about. Oddly enough judging from responses by other people, I lived a pretty awkward life (not myself, but I've had a lot of awkward experiences and situations involve me).
This is a story I usually only tell guys, but it might work with girls...true story btw (I'm writing this as if I were talking to them):
"Okay my friend hooks up with this one girl, and they got along pretty well. At first it seemed like they were on and off, like one day they would love each other, the next day they seemed like just friends. Well they finally got together in bed one day, and she started sucking his ****. Though like a minute into it she suddenly bites the head really hard and it starts bleeding!--" At this point they're usually laughing or cracking up, but here's the best part. "If this happened to you you would say something like 'wtf?' or 'you fvckin b!tch!' Well, my friend instead said 'you betrayed me!!!!" The people who I tell this story to are usually dying of laughter at this point.
My cousin actually told me this story (I knew the guy though), and he has a history of spicing things up to real life stories, so I doubt the guy said "You betrayed me!" However it did get me rolling on the floor.
Story telling is actually an art itself. If it was easy, we all could become screenwriters and writers. I'm pretty sure if I told you guys this story face to face it would be a lot funnier.