Here is the full list of all 28 Drawn to Death trophies - there are 13 bronze, 7 silver, 7 gold and 1 platinum.
Get 600 kills.
Win a match of Organ Donor with a single deposit.
Get 50 kills with The Hand.
Reach floor 15 of a ranked tower.
Get 1st place in 25 matches.
Discover The Lost in Shooting Gallery!
Destroy three moon rocks in Shooting Gallery!
Anger an alien, kill an enemy!
Play and finish 50 matches.
The Emperor (or at least his face) will SMASH you!
Discover granny's terrible secret!
Deposit 10 hearts in a Organ Donor match.
Get 100 kills.
Get 1st place in 7 matches.
Play and finish 20 matches.
Do 3000 points of damage with special attacks.
Get a kill with The Hand.
Get 50 kills with 3 different characters.
Get 50 kills.
Get 1st place in a match.
Play and finish 10 matches.
Complete Training.
Get your first kill.
Earn all other trophies in the game.
Use all Alientown warps — including secret warps — in one match!
Get one character to Level 15 and complete all of that character's missions.
Get two characters to Level 15 and complete all of those characters' missions.
Solve all of the Sphinx's riddles.