I read this earlier and I've been thinking about it.
I should know some that fit that description but it could take a day or two to think it out.
Unless I just did The Sector General series by James White. It's a hospital that treats many types of aliens. The first few books are about the same MC but later he gets promoted and married so he no longer is the MC. It has various types of action including mysteries--how do you treat an alien that feeds on radiation? Or one that needs ten times the gravity you do? Some books do have some military action but most is interpersonal and emotional.