First, that Redcap art with her on the Throne is amazing
Next, the Eberron book offered quite a bit for these. Now, obviously this will be generic and therefore harder to due, but going off someone mentioning an Academy, here is a high level overview of the "Academy" entry in Eberron
1) They used Morgrave as a specific example, listing what it is, and some basic history, then listing some of its prominent allies and enemies.
2) They then listed various benefits the Patron could give a party, giving some guidelines on how much money they might spend on a party under normal circumstances, access they could gain, research notes, training ect.
3) They followed that up with a breakdown of various "roles" within such a group. So, if you work for an academy you might be a Field Researcher, A Financier, A Research Assistant, or Scholar, and some advice on the focus that such a character might have.
4) Next they gave example missions that an Academy backed team might go on.
5) Following that they have a chart for the "Scholarly Standing" of your group. Basically, what are some of the reputations you might have as members of the Academy.
6) Then they give us a list of potential contacts you might have within the organization.
7) Finally they gave us other Academies and brief overviews of them, if you didn't want Morgrave.
And, other than 1 and 7, I'd say most of that was generic enough to apply to any setting and any academy. Which I think is quite a bit of content when you look at it being spread over at least 8 patrons (and yes, those look like the same patrons in the Eberron Book, and they had the same type of info for every entry)