Here is the full list of all 51 Injustice: Gods Among Us Ultimate Edition trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Win all story mode minigames
Perform every level interaction once
Beat All S.T.A.R. Lab Missions (Excluding DLC)
Perform every Meter Burn special move of every character
Unlock everything in the Archives
Perform every special move of every character
Get 100 Stars in S.T.A.R. Lab Mode
Win 10 complete Ranked matches
Complete Classic Battle with all characters
Perform a 10 hit combo with every character
Win 100 complete Online Matches
Defeat a Survivor
Play 200 complete Online Matches
Complete 100% of Story Mode
Complete 50% of Story Mode
Win 1 complete Ranked match
Defeat every Villain With Batman
Dethrone the King in an online match
Win a multiplayer match with a timeout
Make a comeback when at low health (10% or less)
Perform 8 throws and win in a multiplayer match
Use every interactable and win in a multiplayer match
Win a match as Deathstroke without missing a shot (minimum 12 shots)
Win with Batman using every special move and his Supermove
Unlock a costume in the Archives
Unlock All costumes in the Archives
Perform every character's supermove
Knock opponent through all transitions across all levels
Cause maximum damage in all Arenas (does not include Practice mode)
Complete Tutorial
Win a match with Green Arrow using only arrows
Reach Level 10
Send an opponent through all three Metropolis transitions in one fight
Win a single online match
Complete Classic Battle with any character
Win a Clash sequence with any character
View Your Hero Card
Equip a new Icon
Equip a new Background Image
Knock an opponent through a transition
Get 3 stars on 1 S.T.A.R. Lab Mission
Complete 1 S.T.A.R. Lab Mission
Win a match with the super move of any character
Vote Correctly in a KOTH match
Enter Online Practice with someone on your friends list
Enter Practice Mode
Equip a new Character Portrait
You've unlocked all Trophies!
Complete Battle Mode
Reach Level 100
Complete All S.T.A.R. Lab Missions with 3 Stars