Here is the full list of all 48 The Lord of the Rings: Conquest trophies - there are 32 bronze, 13 silver, 2 gold and 1 platinum.
Earn all Bronze, Silver and Gold Trophies in The Lord of the Rings: Conquest™
Capture a ring with Frodo in a ranked Capture the Ring match.
Kill 30 enemies in a ranked Team Deathmatch match.
Kill 20 enemies with Legolas in any Team Deathmatch game.
Kill 25 players as the warrior in any ranked match.
Kill 20 enemies with Gimli in any Team Deathmatch game.
Defeat 3 Nazgul as Aragorn in Minas Morgul ("War of the Ring" Campaign).
Kill 300 hobbits in the Shire in one playthrough ("Rise of Sauron" Campaign).
Complete a campaign level cooperatively.
Heal 30 allies in one life as the mage.
Kill 25 enemies in one life with the scout's bombs.
Kill 100 enemies in one life with the mage's fire wall.
Kill 25 enemies in one life with the archer's fire arrows.
Defeat the Balrog as Gandalf in the Mines of Moria ("War of the Ring" Campaign).
Get 25 headshot kills in one life as the archer.
Complete the single player "Rise of Sauron" Campaign.
Defeat Gandalf as Sauron in the Shire ("Rise of Sauron" Campaign).
Complete the Rivendell level in the single player "Rise of Sauron" Campaign.
Complete the Weathertop level in the single player "Rise of Sauron" Campaign.
Defeat Aragorn as Saruman in Weathertop ("Rise of Sauron" Campaign).
Complete the Mines of Moria level in the single player "Rise of Sauron" Campaign.
Defeat Gimli as the Balrog in the Mines of Moria ("Rise of Sauron" Campaign).
Complete the Minas Tirith level in the single player "Rise of Sauron" Campaign.
Complete the Osgiliath level in the single player "Rise of Sauron" Campaign.
Complete the Mount Doom level in the single player "Rise of Sauron" Campaign.
Complete the single player "War of the Ring" Campaign.
Complete the Minas Morgul level in the single player "War of the Ring" Campaign.
Complete the Pelennor Fields level in the single player "War of the Ring" Campaign.
Defeat the Witch King as Eowyn in Pelennor Fields ("War of the Ring" Campaign).
Climb and kill an Oliphaunt.
Complete the Minas Tirith level in the single player "War of the Ring" Campaign.
Complete the Osgiliath level in the single player "War of the Ring" Campaign.
Get picked up by a fell beast or eagle.
Kill 10 players in one life as the Witch King in any ranked match.
Kill 15 players with the Mage's lightning in any ranked match.
Backstab 10 players as the scout in any ranked match.
Use the scout to backstab 10 enemies in one life.
Headshot kill 10 players as the archer in any ranked match.
Capture 10 control points in ranked Conquest match.
Score the most points on the winning team in any ranked online match.
Capture 3 rings in a ranked Capture the Ring match.
Complete the Mines of Moria level in the single player "War of the Ring" Campaign.
Complete the Isengard level in the single player "War of the Ring" Campaign.
Complete any campaign level without dying.
Complete the Helm’s Deep level in the single player "War of the Ring" Campaign.
Score 30 hits on the combo counter as the warrior.
Kill 100 enemies in one life as the warrior.
Complete the training level.