Here is the full list of all 51 Spec Ops: The Line trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Unlock all Trophies.
Complete game on "FUBAR" difficulty.
Play it smart.
Complete three chapters in a row without being killed or reloading a checkpoint.
Complete any chapter with 60%+ accuracy without dying or reloading a checkpoint.
Live and let live.
Complete game on "Suicide Mission" difficulty.
Recover all Intel Items.
Choose restraint.
Buck the chain of command.
Kill 50 enemies with any sniper rifle. (campaign only)
Kill 50 enemies with grenades. (campaign only)
Kill 250 enemies with headshots. (campaign only)
Kill 10 enemies while they use zip lines or are rappelling. (campaign only)
Save a bullet.
Kill an oryx. (campaign only)
You are relieved.
Kill 350 enemies with any rifle. (campaign only)
Live and let die.
Complete game on "Combat Op" difficulty.
Complete game on "Walk on the Beach" difficulty.
Carry on, soldier.
The end of the line.
Blow up 10 explosive objects, killing at least one enemy each time. (campaign only)
Kill 75 enemies with any shotgun. (campaign only)
Choose vengeance.
Kill an enemy by tagging him with a sticky grenade. (campaign only)
Get out of here!
Recover 12 Intel Items.
Kill 5 enemies using blind fire. (campaign only)
Stand united.
Kill 150 enemies with any heavy weapon. (campaign only)
Sprint into cover 10 times while under fire. (campaign only)
Kick an enemy by vaulting over a cover. (campaign only)
Show mercy.
Kill 50 enemies using only the Attack Command. (campaign only)
Follow your orders.
Kill 100 enemies with any pistol or SMG. (campaign only)
Play it loose.
Stun an enemy by dumping sand on their head. (campaign only)
Face the horrors of war.
Hit 10 enemies with your melee attack. (campaign only)
Kill an Edged Weapon Expert while he is up to 5 meters away. (campaign only)
Engineer an exit strategy.
Kill an enemy just as they are throwing a grenade. (campaign only)
We have contact.
Kill 4 enemies with a shotgun in 10 seconds or less. (campaign only)
Look out below.
Kill 3 enemies with a single grenade. (campaign only)
Recover one Intel Item.
What's lost is found.