Here is the full list of all 51 Mortal Kombat trophies - there are 34 bronze, 15 silver, 1 gold and 1 platinum.
Perform and land a Tag Combo
Complete Story Mode 50%
Complete Story Mode 100%
Complete Tutorial Mode
Perform a Fatality!
Perform a 10-hit combo with any fighter
Complete Arcade Ladder with Any Fighter
Complete Arcade Ladder with All Fighters
Perform a Fatality with all playable fighters
Complete Arcade Ladder without blocking (allowed to continue)
Win Arcade Tag Ladder with robot Sektor and Cyrax
Unlock 50% of the Krypt
Unlock 100% of the Krypt
Spill 10000 pints of blood
Complete Fatality Trainer
Unlock Hidden Fighter "Cyber Sub-Zero"
Successfully land every playable fighter's X-Ray
Unlock all Alternate Costumes
Complete all Test Your Strike mini-game challenges
Complete all Test Your Sight mini-game challenges
Complete 25 Tower missions
Perform 1 of each type of "-ality"
Perform any fighter's hidden finishing move
Unlock Hidden Fighter "Quan Chi"
Discover and fight Hidden Kombatant 4 in Arcade Ladder
You've unlocked all Trophies!
Perform every fighter's forward and backwards throws
Complete 200 Versus matches (online OR offline)
Complete Arcade Ladder on max difficulty without using a continue
Win A Ranked Online Match without jumping
Win an Online Match
Win 10 Ranked Online Matches in a row
Complete 100 Online Matches
Win 100 total Online Matches
Get a Flawless Victory in an Online Match
Earn 1000 Respect Points via king of the hill Matches
Earn 2500 Respect Points via king of the hill Matches
Win 10 king of the hill Matches in a row
Perform 8 throws in an Online Ranked Match
Win both rounds with timer running out in an Online Ranked Match
Comeback with under 10% health in an Online Ranked Match
Get all MK Dragons in Test Your Luck
Unlock Mileena's 3rd Alternate Costume
Gain Mastery of 1 Fighter
Gain Mastery of All Fighters
Complete all Test Your Might mini-game challenges
Complete all Tower missions
Perform every fighter's hidden finishing move
Discover and fight Hidden Kombatant 1 in Arcade Ladder
Discover and fight Hidden Kombatant 2 in Arcade Ladder
Discover and fight Hidden Kombatant 3 in Arcade Ladder