Here is the full list of all 51 Call of Duty: Modern Warfare Remastered trophies - there are 34 bronze, 15 silver, 1 gold and 1 platinum.
Kill 2 enemies by blowing up a car in the single player campaign.
Survive a dog attack.
Kill at least 3 rappelling enemies in a single rope.
Save the farmer.
Protect 'War Pig', the Abrams tank.
Kill all 4 tanks on the overpass with the Javelin missile in 'The Bog'.
Save Pvt. Roycewicz on the stairs.
Complete 'Charlie Don't Surf' on Veteran difficulty.
Kill an enemy while blinded by a flashbang in the single player campaign.
Complete 'Blackout' on Veteran difficulty.
Kill the power.
Complete 'Crew Expendable' on Veteran difficulty.
Infiltrate a cargo ship.
Kill 4 enemies in a row with headshots in the single player campaign.
Complete 'F.N.G.'.
Earn all available trophies for Call of Duty®: Modern Warfare® Remastered.
Operate an AC-130 gun ship.
Find Al-Asad's safehouse.
Carry Cpt. MacMillan to safety.
Corner Zakhaev's Son.
Complete the game on any difficulty.
Find 15 enemy intel items.
Find 30 enemy intel items.
Complete the cargo ship mockup in less than 19 seconds.
Destroy all the TVs showing Al-Asad's speech.
Kill 5 enemies with one shot while in the AC-130 gunship.
Complete 'All Ghillied Up' without alerting any enemies.
Sky dive to safety on Veteran difficulty.
Stab an injured crawling enemy.
Complete the game on Hardened or Veteran difficulty.
Complete 'The Bog' and 'War Pig' on Veteran difficulty.
Complete 'Hunted' and 'Death From Above' on Veteran difficulty.
Complete 'Shock and Awe' on Veteran difficulty.
Complete 'Safehouse' on Veteran difficulty.
Complete 'All Ghillied Up' and 'One Shot, One Kill' on Veteran difficulty.
Complete 'Heat' and 'The Sins of the Father' on Veteran difficulty.
Complete 'Ultimatum', 'All In', and 'No Fighting in the War Room' on Veteran difficulty.
Complete 'Game Over' on Veteran difficulty.
Shoot down an enemy helicopter with an RPG in the single player campaign.
Kill 3 enemies in a row with your knife in the single player campaign.
Kill Makarov and complete your mission
Get a kill with each type of handheld gun, explosive and launcher in the single player campaign.
Destroy 8 enemy helicopters in 'Heat'.
Find the Desert Eagle in 'Crew Expendable' and kill 5 enemies with it.
Complete any level using only the knife to kill enemies.
Kill 20 attack dogs with a knife.
Find and use the hidden cache in 'Heat'.
Complete any level without reloading your weapon (excluding 'The Coup' and 'Aftermath').
Beat IW best time on the Ship Training course in 'F.N.G.' (15.1 sec).
Alert the enemy helicopter in 'All Ghillied Up' and take it down.
Kill 20 enemies with explosives in a single level.