Here is the full list of all 51 METAL GEAR SOLID 2: Sons of Liberty - there are Master Collection Version achievements.
Complete Boss Survival
Down an enemy with steam from a pipe
Attain grip level 3
Disorient an enemy with a cloud of smoke from a fire extinguisher
Complete a VR or Alternative mission
Get the Plant stealth suit
Get the infinity wig
Read all the pages in the Screenplay Book
Catch a glimpse of Vamp standing in the streets of New York during the end cinematic
Hear Johnny's bowel noises in two locations
Beat 30 enemies unconscious
Break the neck of 30 enemies
Lure a guard with a girlie magazine
Get sea lice all over your rations
Get the Tanker stealth suit
Watch Rose kill Raiden on a rooftop
Watch something in the Casting Theater
Get the bandana
Tranquilize 100 enemies
Destroy 5 cameras
Clear the game without killing anyone
Send Otacon a picture of the marine with no pants
Take a clear photograph of the ghost image in Hold No. 2
Hold up 30 enemies
Collect every type of weapon on the Tanker
Put an enemy in a locker
Kiss a poster in a locker
Get caught by Otacon stimulating yourself
Beat the Tanker and Plant chapters on any difficulty
Defeat Metal Gear RAY
Defeat Solidus Snake
Collect every type of weapon in the Plant
Befriend Olga Gurlukovich
Acquire the digital camera
Find Emma Emmerich
Defeat Vamp
Meet President James Johnson
Destroy the AV-88 Harrier II
Learn the location of the president
Collect all boxes
Defeat Fatman
Survive Fortune's attack
Learn how to defuse C4 bombs from Peter Stillman
Meet Revolver Ocelot
Collect a dog tag
Defeat Olga Gurlukovich
Shoot an enemy radio
Complete at least one of the Snake Tales
Place first in 50 different VR/Alternative missions
Clear the game without entering Alert Mode (not including events where Alert Mode is mandatory)
Earn the title of Big Boss