We run a group in Barcelona where we meet once per week and read the book aloud. It's technically not a "book club", but rather "pronunciation improvement group" – while we read, an organizer who is a native-speaker corrects the mistakes on the go – but as we'd finished already 4 fantastic books together, we obviously had a plenty of opportunity and time to discuss what we're reading, I would qualify it's as a book club for sure.
This club format is not just great for improving English (you develop listening, reading and speaking skills at the same time), but also have become one of the most favourite activity of mine during the week – we usually meet in some lovely place in the Saturday morning, drink coffee with croissants, meet wonderful smart people, discuss life and books, while enjoying views on Sagrada Familia.
Having this experience, idea of reading silently at home and then meeting once to briefly share the opinion about a book, doesn't sound exciting at all :)