Here is the full list of all 27 Call of Duty: Modern Warfare achievements.
Spit on Barkov.
Only use one cinder block and bring it to the end of 'Embedded'.
Kill all the enemies in the 'Embedded' field of dead bodies.
Kill at least one enemy while inside The Reading Place, Aural Chic, and both Subway undergrounds.
Complete 'Clean House' without being hit using one bullet per threat.
Complete every single player mission on Veteran or Realism difficulty.
Finish single player on any difficulty.
Reach Barkov's lab entrance using only drone strikes.
Kill all enemies at the Church, Clocktower, and Pool without anyone calling for backup.
Shut off the power to 4 buildings in 'Going Dark'.
Get at least one kill with eight different weapons when completing 'Old Comrades'.
Never get hit by the sniper while escaping captivity.
Complete 'The Wolf's Den' tunnels using only the 1911.
Kill 3 enemies while you are on a ladder.
Kill both soldiers with one shot in 'Hometown'.
Stop three APCs with Hadir's sniper rifle.
Shoot the driver of the suicide truck.
Destroy 4 trucks with 4 drone strikes before they reach the end of their path in 'The Embassy'.
Blow up 3 tripwires with explosives.
Kill an enemy with a direct hit from a smoke grenade.
Save Alpha 3-2 from being downed.
Take down a flying helicopter with a molotov.
Burn 4 enemies with a single molotov.
Crash a helicopter by shooting the pilot.
Do not injure any civilians in 'Piccadilly'.
Neutralize the 'Fog of War' machine gun with a frag grenade.
Complete all Special Operations missions.