Here is the full list of all 15 Muv-Luv achievements.
Saw all possible endings of UNLIMITED
Completed the CG Gallery
Unlocked Jukebox mode
Saw one possible ending of Unlimited
Saw Meiya ending in EXTRA
Saw all possible endings of EXTRA
Ready for Unlimited
Saw Sumika ending in EXTRA
Took five Drill Milky Punches to the face
Saw Kei ending in EXTRA
Saw Chizuru ending in EXTRA
Saw Miki ending in EXTRA
Saw Common End 1 ending in EXTRA
Saw Common End 2 ending in EXTRA
Started Muv-Luv!