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