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
Watch Rose kill Raiden on a rooftop
Watch something in the Casting Theater
Complete Boss Survival
Earn the title of Big Boss
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)
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
Hear Johnny's bowel noises in two locations
Tranquilize 100 enemies
Beat 30 enemies unconscious
Find Emma Emmerich
Defeat Vamp
Meet President James Johnson
Destroy the AV-88 Harrier II
Acquire the digital camera
Learn the location of the president
Collect all boxes
Destroy 5 cameras
Break the neck of 30 enemies
Defeat Fatman
Lure a guard with a girlie magazine
Survive Fortune's attack
Learn how to defuse C4 bombs from Peter Stillman
Get sea lice all over your rations
Meet Revolver Ocelot
Hold up 30 enemies
Collect every type of weapon on the Tanker
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
Attain grip level 3
Down an enemy with steam from a pipe
Disorient an enemy with a cloud of smoke from a fire extinguisher
Defeat Olga Gurlukovich
Put an enemy in a locker
Shoot an enemy radio
Collect a dog tag
Read all the pages in the Screenplay Book
Get the bandana
Get the Tanker stealth suit
Get the infinity wig
Get the Plant stealth suit