Just a few I've read.
'Marine Sniper' the Carlos Hathcock story, is fantastic. 'Steel, my soldiers hearts' is a great infantry story. 'Diary of an Airborne Ranger' is still the only book I've ever read in it's entirety in one
day.... GREAT! 'Recondo' will absolutely blow away any hollywood action movie you've ever seen on the big screen... and it's all completely true.
Also, read 'The things they carried'... but that is FICTION along with 'the Short timers'... also fiction.
I would recommend finding Non-Fiction books in the military history section at a local store. Fiction is cool... but honestly, there are WAY TOO MANY authentic stories that are facinating and really don't need to be "churched up" to make it exciting!