Here is the full list of all 31 Prodeus trophies - there are 10 bronze, 16 silver, 4 gold and 1 platinum.
Collect all of the trophies
Kill 10000 Enemies
Finish A Level Without Killing Any Enemies
Finish The Campaign With 100% On All Levels
Finish A Level Without Taking Damage
Finish The Campaign
Break 10 Shields
Melt 20 Enemies With The Chaos Caster
Get 100 Enemies To Kill Each Other
Kill 10 Cloaked Enemies
Get 20 Enemies To Kill Each Other With Friendly Fire
Make 5 Purchases
Find A Hidden Exit In A Level
Finish A Level Without Dying On Hard Difficulty
Finish A Level With 100% On Hardest Difficulty
Finish 10 Levels
Kill 1000 Enemies
Pick Up 50 Ore
Pick Up 25 Ore
Make 1 Purchase
Obliterate 100 Enemies
Kill 20 Enemies With Environmental Hazards
Kill 10 Enemies In A Row
Kill 5 Enemies In A Row
Pick Up 10 Ore
Obliterate An Enemy With Your Fists
Kill All Enemies In A Level
Finish A Level Without Dying
Finish A Level with 100% On Any Difficulty
Find All The Secrets In A Level
Kill 100 Enemies