Here is the full list of all 51 Mortal Kombat trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
You've unlocked all Trophies!
Gain Mastery of All Fighters
Gain Mastery of 1 Fighter
Complete Arcade Ladder with All Fighters
Unlock all Alternate Costumes
Win 100 total Versus Matches
Complete 100 Versus Matches
Perform every fighter's hidden finishing move
Unlock Mileena's 3rd Alternate Costume
Complete all Tower missions
Complete all Test Your Might mini-game challenges
Complete all Test Your Sight mini-game challenges
Complete all Test Your Strike mini-game challenges
Unlock 100% of the Krypt
Unlock Kenshi, Skarlet, and Rain Alternate Costumes
Complete all 150 bonus tower missions
Complete all Test Your Balance mini-game challenges
Unlock 50% of the Krypt
Swipe your way through a set of all-new mini-game challenges
Complete 100 bonus tower missions
Complete 50 bonus tower missions
Perform every fighter's forward and backwards throws
Perform a Fatality with all playable fighters
Discover and fight Hidden Kombatant 2 in Arcade Ladder
Successfully land every playable fighter's X-Ray
Complete 25 Tower missions
Discover and fight Hidden Kombatant 1 in Arcade Ladder
Discover and fight Hidden Kombatant 3 in Arcade Ladder
Get a Flawless Victory in a Versus Match
Win a Versus Match
Perform 1 of each type of "-ality"
Complete Arcade Ladder without blocking (allowed to continue)
Win Arcade Tag Ladder with robot Sektor and Cyrax
Complete Arcade Ladder with Any Fighter
Complete Arcade Ladder on max difficulty without using a continue
Discover and fight Hidden Kombatant 4 in Arcade Ladder
Perform and land a Tag Combo
Perform 1 "-ality" using the PlayStation®Vita system touchscreen
Get all MK Dragons in Test Your Luck
Discover all the deathtraps in Test Your Balance
Perform any fighter's hidden finishing move
Complete Tutorial Mode
Complete Story Mode 100%
Spill 10000 pints of blood
Complete Story Mode 50%
Complete Fatality Trainer
Win 10 Ranked Online Matches in a row
Perform 8 throws in an Online Ranked Match
Win A Ranked Online Match without jumping
Perform a 10-hit combo with any fighter
Perform a Fatality!