I have been participating in a reading group for the last 3 years.
We meet once a month in a member's home, and one of us presents a book he has read and that the others don't necessarily know. The main point we always focus on is "Why is this book considered literature?". What I love about this kind of organization is that people who have never read the book allow you find out a lot of things you have never thought about while reading the book. You consider it from some brand new perspectives and might find out that it has man more layers of meaning than what you thought before presenting it to the club - well, this happens if it's good literature of course .
We have recently found a new one, with female participants only, where we have made the rules a bit more flexible. Sometimes we choose one book we all read, other times one reads the book while others watch a related movie, or we even choose one author and each one of us chooses one of his/her book to read. I haven't experimented this last solution yet, I'll tell you at the end of this month