This one seems pretty obvious to me. Inter-alien organization charged with promoting and maintaining peace, both are very specialized and privledged organizations that is seen as an honorary serving rather than for any personal gain. Agents report directly to the head governing body. Basicly self-regulating. Somewhat secretive and mysterious. Both began as non-human institutions but in the course of the story come to include human members. Obviously they're not identical and these tend to be archetypes that exist in lots of sci-fi (e.g. the Turians can be seen as similar to Klingons as well). The Turians are very honor driven and have a largely warrior-mentality. The Asari are a bit more enigmatic and tend to be the diplomats (not that all Minbari were diplomatic) and have also served as having our main alien female characters in both stories. I know but now you're the one nitpicking. It's not exactly a common name but it does tend to pop up in sci-fi and fantasy a bit. I didn't say they did and that's partly why I put it further down the list. But both stories use them in very similar manners (ME1 especially) and not like in Star Trek, Star Wars, Dune, or any other space sci-fi that readily comes to mind.