Here is the full list of all 17 Centipede: Recharged trophies - there are 2 bronze, 5 silver, 9 gold and 1 platinum.
Unlock all trophies
Complete all challenges in a single player mode
Complete all challenges in coop mode
Kill 800 spiders
Kill 10 enemies with a single shot from a railgun
Kill 400 scorpions
Kill 600 fleas
Reach 40 000 points in arcade mode
Reach 30 000 points in arcade mode
Resurrect an ally in coop mode
Survive 180 seconds
Reach 20 000 points in arcade mode
Kill 1000 centipedes
Kill 15 enemies in rapid succession
Detonate 50 bombs with a single shot
Reach 2 000 points without missing a single shot.
Kill the enemy without doing damage to it