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