MyBB Community Forums

Another thing which could be added to group settings. It's possible to do it for users, so why not whole groups?

Yes, this is a good idea. It would be useful for things like probation periods. At the moment a user can be set as moderated and a forum can be set as moderated. New options could also include moderate a forum for specific usergroups (under forum permissions like the way other options are inherited from the group settings).