You may have read my meta post Discussion groups to assist those self-studying or enrolled students (if you haven't, you probably should, though a quick summary is provided below).
Again, this idea grew out of the idea of a "MSE University" but it is not that, so please keep an open mind.
So, what is this idea? To summarize - groups of students with one or two advisors/coordinators/teachers/insert term heres that will meet with the students once or twice a week. They'll assign readings from a book, answer questions, discuss topics, and maybe give a quiz at the end. In other words, this is a formalized study group.
This idea won't work without volunteers!
If you're interested and would be willing to help with a group, please put your username and area of expertise in answer (it's a single answer because it would get really cluttered otherwise). Please also include the level at which you'd be teaching the topic (grad, undergrad, highschool, whatever).
To the students:
This idea won't work without you either. Interested students, please put your username and possibly topics of interest/experience level into the other answer (again, single answer to avoid clutter).
If you have ideas and suggestions, please put them on the other answer; thank you.