Stories with something like the Jedi Order or the Bene Gesserit

I’m looking for a book about characters who are part of an order like the Jedi or the Bene Gesserit. Before someone says, “But they are totally different!”, I know (even if I can write a post about how similar they are) and I don’t care. I’m looking more for the structure and role of the order than for something identical.

I’m interested in orders whose members travel to different regions or planets and influence politics, governments, conflicts, or wars, whether for the greater good or for their own political ambitions. It would be great if they had some kind of mystical power or telepathic connections, shared memories, or communication with predecessors, but that’s optional.

What I really like is the idea of members of an order being sent to different places, dealing with different cultures, political situations, rulers, rebellions, etc., and having to navigate complicated moral and political situations.

I have read the Jedi Apprentice books but they are clearly for a younger audience and the politics and conflicts are very flat. I would take stories much further from any of the orders above but with better written conflicts.

I would also gladly take books about the conflict inside these kinds of orders and the connections between beings raised communally, with very strict rules and a clear path ahead, where they have to give up personal connections and wants for the good of the order/the people. (I know this is very different from the rest of the post but I am desperate and would take most books if they are anything close to the Jedi order or the Bene Gesserit).

Thanks to everyone who even tries to give me a suggestion.