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