Over on literature we’re trying to get a book club going. It’s going rough but we’re working on it. The idea that I had is something… similar but different. Every week (or month, whatever timeline you want) the community would vote for a movie to watch. Then at a designated time you would schedule a chat session for people to talk while watching the movie together (or perhaps schedule multiple chat sessions to cater to those in different time zones).
Any questions brought up while watching could be asked in chat, or asked on the main site.
Any details would be completely up to the community to decide on, and that's only if you all want to do something like this.