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