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