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