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