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