Here is the full list of all 39 Legendary Edition: Mass Effect 3 trophies - there are 22 bronze, 13 silver, 3 gold and 1 platinum.
ME3: Acquire all trophies
ME3: Upgrade any weapon to level 10.
ME3: Lift 100 enemies off the ground with powers.
ME3: Perform any combination of 50 biotic combos or tech bursts.
ME3: Mission accomplished.
ME3: Make the final assault.
ME3: Defeat an old adversary.
ME3: Defeat a group of Spectre-level opponents on Normal, Hardcore, or Insanity.
ME3: Stop an out-of-control scheme before it's too late.
ME3: Send a warning across the galaxy.
ME3: Extract ancient technology.
ME3: Deliver most of the Galaxy at War assets to the final conflict.
ME3: Call down an orbital strike.
ME3: Disable a group of fighter squadrons.
ME3: Sabotage a dreadnought.
ME3: Discover an enemy's monstrous origin.
ME3: Evacuate a scientific facility.
ME3: Obtain two non-customizable suits of armor.
ME3: Win a political stand-off.
ME3: Explore a lost city.
ME3: Set 100 enemies on fire with powers.
ME3: Overload the shields of 100 enemies.
ME3: Survive the swarm.
ME3: Destroy an Atlas dropped from orbit.
ME3: Stop a Cerberus kidnapping.
ME3: Free Omega from Cerberus Occupation.
ME3: Kill 10 guardians with headshots from the front while their shields are raised.
ME3: Uncover an ancient secret.
ME3: Defeat a harvester.
ME3: Kill a brute while it's charging you.
ME3: Dispatch 10 probes to retrieve people or resources in Reaper territory.
ME3: Bring a veteran officer aboard.
ME3: Hijack an Atlas mech.
ME3: Escape a Reaper in the galaxy map.
ME3: Visit a store on the Citadel.
ME3: Chase down an assassin.
ME3: Modify a weapon.
ME3: Return to active duty.
ME3: Evolve any of your powers to rank 6.