Again, the list below is full of spoilers. For those that are going in blind, not only do I envy you, but you should avoid the list until you've beaten the campaign yourself. For those returning for another go around, be warned that there are a few surprises included in the list below.
Just another day at the office
Earn all available trophies for Call of Duty: Modern Warfare Remastered.
Earn a Winged Dagger
Complete 'F.N.G.'.
Make the Jump
Infiltrate a cargo ship.
Dancing in the Dark
Kill the power.
Save the Bacon
Protect 'War Pig', the Abrams tank.
Death From Above
Operate an AC-130 gun ship.
Wrong Number
Find Al-Asad's safehouse.
Piggyback Ride
Carry Cpt. MacMillan to safety.
Desperate Measures
Corner Zakhaev's Son.
Win the War
Complete the game on any difficulty.
Look Sharp
Find 15 enemy intel items.
Eyes and Ears
Find 30 enemy intel items.
Down Boy Down
Survive a dog attack.
New Squadron Record
Complete the cargo ship mockup in less than 19 seconds.
Rescue Roycewicz
Save Pvt. Roycewicz on the stairs.
Your Show Sucks
Destroy all the TVs showing Al-Asad's speech.
Man of the People
Save the farmer.
Straight Flush
Kill 5 enemies with one shot while in the AC-130 gunship.
Ghillies In The Mist
Complete 'All Ghillied Up' without alerting any enemies.
Mile High Club
Sky dive to safety on Veteran difficulty.
No Rest for the Weary
Stab an injured crawling enemy.
Deep and Hard
Complete the game on Hardened or Veteran difficulty.
The Package
Complete 'Crew Expendable' on Veteran difficulty.
The Rescue
Complete 'Blackout' on Veteran difficulty.
The Search
Complete 'Charlie Don't Surf' on Veteran difficulty.
The Bog
Complete 'The Bog' and 'War Pig' on Veteran difficulty.
The Escape
Complete 'Hunted' and 'Death From Above' on Veteran difficulty.
The First Horseman
Complete 'Shock and Awe' on Veteran difficulty.
The Second Horseman
Complete 'Safehouse' on Veteran difficulty.
The Shot
Complete 'All Ghillied Up' and 'One Shot, One Kill' on Veteran difficulty.
The Third Horseman
Complete 'Heat' and 'The Sins of the Father' on Veteran difficulty.
The Ultimatum
Complete 'Ultimatum', 'All In', and 'No Fighting in the War Room' on Veteran difficulty.
The Fourth Horseman
Complete 'Game Over' on Veteran difficulty.
Daredevil
Kill an enemy while blinded by a flashbang in the single player campaign.
Roadkill
Kill 2 enemies by blowing up a car in the single player campaign.
Bird on the Ground
Shoot down an enemy helicopter with an RPG in the single player campaign.
Four of a Kind
Kill 4 enemies in a row with headshots in the single player campaign.
Three of a Kind
Kill 3 enemies in a row with your knife in the single player campaign.
Time Paradox
Kill Makarov and complete your mission
Weapon Master
Get a kill with each type of handheld gun, explosive and launcher in the single player campaign.
Flyswatter
Destroy 8 enemy helicopters in 'Heat'.
Desert Storm
Find the Desert Eagle in 'Crew Expendable' and kill 5 enemies with it.
Master Ninja
Complete any level using only the knife to kill enemies.
Dogs. I Hate Dogs.
Kill 20 attack dogs with a knife.
The Man in the High Tower
Find and use the hidden cache in 'Heat'.
Feel the Heat
Kill all 4 tanks on the overpass with the Javelin missile in 'The Bog'.
Retro Shooter
Complete any level without reloading your weapon (excluding 'The Coup' and 'Aftermath').
Best of the Best
Beat IW best time on the Ship Training course in 'F.N.G.' (15.1 sec).
Man versus Machine
Alert the enemy helicopter in 'All Ghillied Up' and take it down.
Reinforcement Denied
Kill at least 3 rappelling enemies in a single rope.
Explosion Man
Kill 20 enemies with explosives in a single level.
Earn all available trophies for Call of Duty: Modern Warfare Remastered.
Earn a Winged Dagger
Complete 'F.N.G.'.
Make the Jump
Infiltrate a cargo ship.
Dancing in the Dark
Kill the power.
Save the Bacon
Protect 'War Pig', the Abrams tank.
Death From Above
Operate an AC-130 gun ship.
Wrong Number
Find Al-Asad's safehouse.
Piggyback Ride
Carry Cpt. MacMillan to safety.
Desperate Measures
Corner Zakhaev's Son.
Win the War
Complete the game on any difficulty.
Look Sharp
Find 15 enemy intel items.
Eyes and Ears
Find 30 enemy intel items.
Down Boy Down
Survive a dog attack.
New Squadron Record
Complete the cargo ship mockup in less than 19 seconds.
Rescue Roycewicz
Save Pvt. Roycewicz on the stairs.
Your Show Sucks
Destroy all the TVs showing Al-Asad's speech.
Man of the People
Save the farmer.
Straight Flush
Kill 5 enemies with one shot while in the AC-130 gunship.
Ghillies In The Mist
Complete 'All Ghillied Up' without alerting any enemies.
Mile High Club
Sky dive to safety on Veteran difficulty.
No Rest for the Weary
Stab an injured crawling enemy.
Deep and Hard
Complete the game on Hardened or Veteran difficulty.
The Package
Complete 'Crew Expendable' on Veteran difficulty.
The Rescue
Complete 'Blackout' on Veteran difficulty.
The Search
Complete 'Charlie Don't Surf' on Veteran difficulty.
The Bog
Complete 'The Bog' and 'War Pig' on Veteran difficulty.
The Escape
Complete 'Hunted' and 'Death From Above' on Veteran difficulty.
The First Horseman
Complete 'Shock and Awe' on Veteran difficulty.
The Second Horseman
Complete 'Safehouse' on Veteran difficulty.
The Shot
Complete 'All Ghillied Up' and 'One Shot, One Kill' on Veteran difficulty.
The Third Horseman
Complete 'Heat' and 'The Sins of the Father' on Veteran difficulty.
The Ultimatum
Complete 'Ultimatum', 'All In', and 'No Fighting in the War Room' on Veteran difficulty.
The Fourth Horseman
Complete 'Game Over' on Veteran difficulty.
Daredevil
Kill an enemy while blinded by a flashbang in the single player campaign.
Roadkill
Kill 2 enemies by blowing up a car in the single player campaign.
Bird on the Ground
Shoot down an enemy helicopter with an RPG in the single player campaign.
Four of a Kind
Kill 4 enemies in a row with headshots in the single player campaign.
Three of a Kind
Kill 3 enemies in a row with your knife in the single player campaign.
Time Paradox
Kill Makarov and complete your mission
Weapon Master
Get a kill with each type of handheld gun, explosive and launcher in the single player campaign.
Flyswatter
Destroy 8 enemy helicopters in 'Heat'.
Desert Storm
Find the Desert Eagle in 'Crew Expendable' and kill 5 enemies with it.
Master Ninja
Complete any level using only the knife to kill enemies.
Dogs. I Hate Dogs.
Kill 20 attack dogs with a knife.
The Man in the High Tower
Find and use the hidden cache in 'Heat'.
Feel the Heat
Kill all 4 tanks on the overpass with the Javelin missile in 'The Bog'.
Retro Shooter
Complete any level without reloading your weapon (excluding 'The Coup' and 'Aftermath').
Best of the Best
Beat IW best time on the Ship Training course in 'F.N.G.' (15.1 sec).
Man versus Machine
Alert the enemy helicopter in 'All Ghillied Up' and take it down.
Reinforcement Denied
Kill at least 3 rappelling enemies in a single rope.
Explosion Man
Kill 20 enemies with explosives in a single level.