Here is the full list of all 25 Call of Duty: Modern Warfare II trophies - there are 4 bronze, 14 silver, 6 gold and 1 platinum.
Collect all the Trophies
Earn three Stars in 'Defender: Mt. Zaya'.
Earn three Stars in 'Denied Area'.
Finish all Campaign missions on Veteran or Realism difficulty.
Finish the Campaign on any difficulty.
Kill three Enemies with the Riot Shield in the Campaign or in Co-op.
Rescue the hostages in 'Countdown' without the enemies firing their weapons.
Shoot all the targets in the training area in 'Ghost Team'.
Drive five vehicle types in 'Violence and Timing'.
Kill gassed or blinded enemies using a Molotov, Semtex and Frag in 'Prison Break'.
Complete the CCTV sequence in four minutes.
Finish 'Alone' without firing a gun.
Open three safes in the Campaign.
In 'Dark Water' advance 90 meters towards the front of the ship without touching the deck.
While affected by one Flashbang, kill two enemies in the Campaign or in Co-op.
Kill the enemy in the porta-potty.
Reach the penthouse in 'El Sin Nombre' without killing anyone or triggering the alarm.
Reach Price using the first vehicle you hijack.
Never trigger the alarm in 'Recon by Fire'.
Reach the barge without being seen in 'Wetwork'.
Shoot three enemies while underwater in 'Wetwork'.
Earn three Stars in 'Low Profile'.
Earn at least one Star in Co-op.
Complete 'Low Profile' without triggering any alarms.
Find 20 intel fragments in Co-op.