Here is the full list of all 51 METAL GEAR SOLID 2: Sons of Liberty - there are Master Collection Version achievements.
Watch Rose kill Raiden on a rooftop
Watch something in the Casting Theater
Complete Boss Survival
Catch a glimpse of Vamp standing in the streets of New York during the end cinematic
Defeat Metal Gear RAY
Tranquilize 100 enemies
Befriend Olga Gurlukovich
Hear Johnny's bowel noises in two locations
Break the neck of 30 enemies
Beat 30 enemies unconscious
Find Emma Emmerich
Defeat Vamp
Meet President James Johnson
Destroy 5 cameras
Destroy the AV-88 Harrier II
Hold up 30 enemies
Learn the location of the president
Defeat Fatman
Survive Fortune's attack
Lure a guard with a girlie magazine
Attain grip level 3
Learn how to defuse C4 bombs from Peter Stillman
Collect a dog tag
Acquire the digital camera
Collect every type of weapon in the Plant
Collect all boxes
Get the bandana
Get the Tanker stealth suit
Get the infinity wig
Get the Plant stealth suit
Read all the pages in the Screenplay Book
Complete a VR or Alternative mission
Place first in 50 different VR/Alternative missions
Complete at least one of the Snake Tales
Get sea lice all over your rations
Meet Revolver Ocelot
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
Shoot an enemy radio
Disorient an enemy with a cloud of smoke from a fire extinguisher
Get caught by Otacon stimulating yourself
Kiss a poster in a locker
Put an enemy in a locker
Defeat Olga Gurlukovich
Beat the Tanker and Plant chapters on any difficulty
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
Defeat Solidus Snake
Collect every type of weapon on the Tanker