I love Snapchat Stories. I always have a minute's worth of video in my story. I love it because, unlike Twitter, Facebook/Instagram and the rest, I can overpost to my hearts content, and people can totally ignore it if they want to. Most of my family does the same, and its fun to see.
I can post videos of my children doing stupid things that no one cares about or wants to see but my parents and grandparents. Oh, thats another thing: when I tell people I love Snapchat, they assume "heh, for sexting?" Well, no, my whole family, including my 60 y.o. parents and 80 year old grandparent are on Snapchat and love seeing videos of my family's activities or stupid stuff we do. The barrier for whats acceptable to post is much lower, like toddlers running through the house naked and whatnot. And it goes away. (well, probably not technically, so I wouldn't post anything that you wouldn't be generally cool with accidentally getting broadcast somehow).
But most the time, I post interesting-but-uncurated little snippets throughout the day that I think are funny or odd, and I usually get a few random comments from friends and family, and its generally fun, frictionless and competition-less way to share without all the 'like' or friend quantifiers. Occasionally a post gets upgraded to twitter for broadcast.
I also initially enjoyed the city stories, where random regular people from, say, Doha or Abu Dhabi or Kuala Lumpur post videos of their daily lives. Cool to see how people live on the other side of the world. Eventually got bored with it, but cool concept.