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