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