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
Read all the pages in the Screenplay Book
Obtain the bandana
Defeat Metal Gear REX
Defeat Liquid Snake
Defeat Vulcan Raven
Exorcise a ghost photo
Prevail in the rematch against Sniper Wolf
Defeat Hind D
Complete a VR training mission
Defeat Sniper Wolf
Defeat Psycho Mantis
Defeat Ninja
Defeat the M1 Tank
Defeat Revolver Ocelot
Begin a new game