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