Here is the full list of all 37 Blasters of The Universe (EU) trophies - there are 24 bronze, 7 silver, 5 gold and 1 platinum.
Point the laster pointer in Alwyn's eye
Unlock all trophies
Kill 100 enemies while they are jumping with a bounce shot
Stun 1000 Enemies
Get 1000 Bounce Kills
Get 1000 Reflection Kills
Get 1000 Headshot Kills
Block 100000 Projectiles
Dissolve 100000 enemy shots
Near-Miss 10000 Shots
Kill 5000 Troopers
Kill 5000 Swarmers
Kill 5000 Flying Drones
Kill 2500 Chargers
Kill 1000 Heavy Gunners
Kill 1000 enemies while they are jumping
Score 250000 points in the Barrens
Score 500000 points in the Barrens
Score 1000000 points in the Barrens
Score 250000 points in the Facility
Score 500000 points in the Facility
Score 1000000 points in the Facility
Score 250000 points in the Passage
Score 500000 points in the Passage
Score 1000000 points in the Passage
Score 250000 points in the Core
Score 500000 points in the Core
Score 1000000 points in the Core
Fire 500000 shots
Headshot kill an enemy with a reflected headshot
Headshot kill an enemy with a bounced headshot
Kill the Destruct0r Boss
Kill the Spect0r Boss
Kill the Protect0r Boss
Kill Alwyn, Virtual Space Lord
Find Alwyn's Video Rental Card
So you beat the game