Conspiray: Them by Jon Ronson. Very funny. Military: Where men win glory, about the war in Irak Survival: Into the wild by the same Krakauer or Joe Simpson Touching the Void Spy? eeehmm.. The spy who came in from the cold?
Another vote for The Caliban Shore - I read it years ago and it's sitting at the other end of the kitchen table, I think I got it down a few days ago to check something about one of the characters that suddenly came to mind. One of my best ever non-fiction reads with a great narrative drive and some fascinating loose ends.
I know you wanted non-fiction, but there's a marvellous spy writer called Charles Cumming, who John Le Carre really rates etc etc. His 1st novel draws very heavily on his own experiences of being recruited by one of the secret services (can't remember if 5 or 6) so although it's fiction, it's quite fascinating. Really typical etonian / oxford / don recommendation for "foreign office job" stuff. his novels are really very good.