Here is the full list of all 29 Assault Android Cactus achievements.
Reach a chain of 1000
Lead the laser turret to defeat Medulla
Destroy 3 enemies by driving another enemy through them with the Giga Drill
Collect every Battery dropped in the Collider level
Destroy seven enemies with a single Rail Gun shot
Earn an S+ ranking on all campaign levels
Defeat one of Embryo's phases before he can relocate
Reach layer 25 in Infinity Drive mode
Reach Layer 15 in Infinity Drive mode
Complete Boss Rush mode
Destroy every laser fence In Justice's first phase
Unlock all items in the Art Gallery
Play as 8 Androids
Destroy an enemy with Helo while it's caught by a Singularity
Drop a cannonball down the hole in Filament
Unlock all items in the Codex
Unlock all items in EX Options
Cause 3 mines to explode in succession without being shot
Rescue the Genki Star
Destroy 15,000 homicidal robots
Defeat Superstructure Engineer Venom
Defeat Security Administrator Justice
Finish any level without taking damage
Defeat Hydroponics Controller Vespula
Activate an EX Option
Unlock any item that costs credits
Defeat Production Overlord Embryo
Earn an S+ rank on any level
Reach a chain of 100