Here is the full list of all 39 The Eye of Judgment trophies - there are 16 bronze, 21 silver, 1 gold and 1 platinum.
In recognition of your rank as a true master summoner. (Acquisition of all trophies)
For braving the gateway to battle. (Victory vs. starter deck)
For training in the rites of the flame. (Victory vs. Set 1 theme deck, Fire Crusader)
For suppressing the aquatic mutiny. (Victory vs. Set 1 theme deck, Water Barrage)
For gaining the recognition of your earthen comrades. (Victory vs. Set 1 theme deck, Earth Emperor)
For those who have joined the liberation army of wood. (Victory vs. Set 1 theme deck, Wood Swarm)
For proving oneself to the Bioliths. (Victory vs. Set 1 theme deck, Biolith Scourge)
For victory over the federation army. (Victory vs. Set 1 theme deck, Arbiter)
For capturing the unscrupulous followers of the flame. (Victory vs. Set 2 theme deck, Fire King's Rage)
For passing the initiation of the water clan. (Victory vs. Set 2 theme deck, Water Conquest)
For suppression of the earthen dead. (Victory vs. Set 2 theme deck, Earth Atonement)
For being admitted into the band of wood thieves. (Victory vs. Set 2 theme deck, Wood Unleashed)
For reaching complete and true understanding of the Bioliths. (Victory vs. Set 2 theme deck, Biolith Godmaker)
For meting punishment to the Parmetic heretics. (Victory vs. Set 2 theme deck, Parmetic Wrath)
For being admitted into the army of flame. (Victory vs. Set 3 theme deck, Fire Havoc)
For being admitted into the army of water. (Victory vs. Set 3 theme deck, Water of Death)
For being admitted into the circle of earthen knights. (Victory vs. Set 3 theme deck, Earth Desolation)
For being recommended to the wood research facility. (Victory vs. Set 3 theme deck, Wood Mayhem)
For those who might become a Biolith godmaker. (Victory vs. Set 3 theme deck, Biolith Revenge)
For gaining entrance to the academy. (Victory vs. Set 3 theme deck, Eye of Judgment)
For fending the trespassers off with your bare hands. (Completion of Set 1 Challenge 1)
For the inspiration required to end a battle swiftly. (Completion of Set 1 Challenge 2)
For conquering every outpost of your enemy. (Completion of Set 1 Challenge 3)
For ambushing the enemy with relentless forces. (Completion of Set 1 Challenge 4)
For gaining ground on the great expanse. (Completion of Set 1 Challenge 5)
For inspiring steadfast unity in battle. (Completion of Set 1 Challenge 6)
For suppressing the riots with an iron will. (Completion of Set 2 Challenge 1)
For utilizing intelligence to confuse enemy forces. (Completion of Set 2 Challenge 2)
An award for complete and total dominance. (Completion of Set 2 Challenge 3)
For claiming all for one's own in the blink of an eye. (Completion of Set 2 Challenge 4)
For abolishing the Prime Elements. (Completion of Set 2 Challenge 5)
For punishing heretics near and far. (Completion of Set 2 Challenge 6)
For pushing your foes back with a deific physical prowess. (Completion of Set 3 Challenge 1)
For achieving victory without needless spilling of blood. (Completion of Set 3 Challenge 2)
For utter annihilation of your blasphemous foes. (Completion of Set 3 Challenge 3)
For victory achieved before war could be declared. (Completion of Set 3 Challenge 4)
For striking fear into the hearts of the heartless Bioliths. (Completion of Set 3 Challenge 5)
In recognition of your rank as a master summoner. (Completion of Set 3 Challenge 6)
In recognition of those truly experienced in battle. (victory in countless duels)