Here is the full list of all 18 METAL GEAR SOLID - there are Master Collection Version achievements.
Obtain the stealth camo
Obtain the Fox or Big Boss codename
Complete all VR training missions
Complete a VR training mission
Read all the pages in the Screenplay Book
Obtain the bandana
Defeat Liquid Snake
Defeat Metal Gear REX
Defeat Vulcan Raven
Defeat Hind D
Prevail in the rematch against Sniper Wolf
Defeat Sniper Wolf
Exorcise a ghost photo
Defeat Ninja
Defeat Psycho Mantis
Defeat the M1 Tank
Defeat Revolver Ocelot
Begin a new game