Here is the full list of all 50 Call of Duty: Modern Warfare 2 achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Defend Burger Town.
Kill at least 10 enemies with one Predator missile in Single Player or Special Ops.
Use a riot shield to beat down an enemy in Single Player or Special Ops.
Infiltrate the snowy mountain side base.
Help train the local militia.
Get hand picked for Shepherd's elite squad.
Find Rojas in the Favelas.
Storm the gulag.
Execute the plan to help the Americans.
Take back Whiskey Hotel.
Assault Makarov's safe house.
Complete the mission in the airplane graveyard.
Complete the Single Player campaign on any difficulty.
Complete the single player campaign on Hardened or Veteran Difficulty.
Complete 'S.S.D.D.' and 'Team Player' on Veteran Difficulty.
Complete 'Cliffhanger' on Veteran Difficulty.
Complete 'Takedown' and 'The Hornet's Nest' on Veteran Difficulty.
Complete 'Wolverines!' and 'Exodus' on Veteran Difficulty.
Complete 'The Only Easy Day... Was Yesterday' and 'The Gulag' on Veteran Difficulty.
Complete 'Contingency' on Veteran Difficulty.
Complete 'Of Their Own Accord', 'Second Sun', and 'Whiskey Hotel' on Veteran Difficulty.
Complete 'Loose Ends' and 'The Enemy of My Enemy' on Veteran Difficulty.
Complete 'Just Like Old Times' and 'Endgame' on Veteran Difficulty.
Run The Pit in 'S.S.D.D.' and finish with a final time under 30 seconds.
Plant the C4 in 'Cliffhanger' without alerting or injuring anyone in the blizzard.
Kill 7 chickens in under 10 seconds in 'The Hornet's Nest'.
Earn 1 star in Special Ops.
Earn 4 stars in Special Ops.
Earn 8 stars in Special Ops.
Earn at least 1 star in 11 different Special Op missions.
Earn all 3 stars in at least 5 different Special Op missions.
Earn 21 stars in Special Ops.
Earn at least 1 star in each Special Op mission.
Earn all 3 stars in at least 10 different Special Op missions.
Earn 30 stars in Special Ops.
Earn all 3 stars in at least 15 different Special Op missions.
Earn 69 stars in Special Ops.
Kill 4 enemies in a row while downed in Special Ops.
Kill a Juggernaut in Special Ops.
Kill 4 enemies with 4 shots during a slow-mo breach in Single Player or Special Ops.
Kill 6 enemies in a row using a thermal weapon in Single Player or Special Ops.
Kill 2 enemies with a single bullet in Single Player or Special Ops.
Collect 22 enemy intel items.
Collect 45 enemy intel items.
Kill 20 enemies in a row while driving a vehicle in Single Player or Special Ops.
Kill 2 rappelling enemies in a row before they land on their feet in Single Player or Special Ops.
Kill 5 enemies in a row using 5 different weapons or attachments in Single Player or Special Ops.
Kill 10 enemies in a row using akimbo weapons in Single Player or Special Ops.
Knife an enemy without him ever knowing you were there in Single Player or Special Ops.
Kill at least 3 enemies with a single shot from a grenade launcher in Single Player or Special Ops.