Here is the full list of all 30 Assault Android Cactus trophies - there are 12 bronze, 11 silver, 6 gold and 1 platinum.
Unlock all trophies
Earn an S+ ranking on all campaign levels
Lead the laser turret to defeat Medulla
Collect every Battery dropped in the Showdown level
Reach layer 25 in Infinity Drive mode
Defeat one of Embryo's phases before he can relocate
Destroy seven enemies with a single Rail Gun shot
Reach a chain of 1000
Unlock all items in EX Options
Complete Boss Rush mode
Unlock all items in the Codex
Rescue the Genki Star
Unlock all items in the Art Gallery
Destroy every laser fence In Justice's first phase
Reach Layer 15 in Infinity Drive mode
Destroy 15,000 homicidal robots
Play as 8 Androids
Destroy 3 enemies by driving another enemy through them with the Giga Drill
Defeat Superstructure Engineer Venom
Defeat Security Administrator Justice
Cause 3 mines to explode in succession without being shot
Destroy an enemy with Helo while it's caught by a Singularity
Defeat Hydroponics Controller Vespula
Defeat Production Overlord Embryo
Activate an EX Option
Unlock any item that costs credits
Drop a cannonball down the hole in Filament
Earn an S+ rank on any level
Reach a chain of 100
Finish any level without taking damage