Here is the full list of all 12 Paranautical Activity trophies - there are 7 bronze, 4 silver and 1 gold.
Complete a floor without taking damage
Acquire all special weapons
Have more armor than health
Let a boss die to a poison
Survive a dark floor
Complete a room without attacking
Beat normal mode
Beat normal mode with all characters
Figure out how to get to 8th floor
Complete hardcore mode 5 times
Kill all bosses in game
Complete all in-game unlocks