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