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