Here is the full list of all 21 Exodemon (Asia) trophies - there are 2 bronze, 10 silver, 8 gold and 1 platinum.
Unlock all trophies
Complete the game
Finish the game without dying
Beat the best time at every level
Finish the game in less than 2 hours
Complte any level without taking damage
Find all the items in any level
Find 5 weapons
Kill 15 fish in one level
Finish a level with 100% of accuracy without using melee attacks
Kill all the enemies in one level only using melee damage
Kill an enemy with a melee attack while airborne
Kill all enemies in any level
Kill 250 enemies
Kill a fish while it's flying from the pipe before it hits the water
Hit an enemy with a grenade from more than 100 units of distance
Kill 5 enemies or more with one grenade explosion
Kill an enemy with ranged attacks in less than 1 second after it spawns
Get killed in the orange goo
Take more than 20 damage from orange goo
Get killed on a bottomless pit