Here is the full list of all 35 Droid Assault achievements.
Completed Arcade Missions
Achieved security level 9
Captured the Ultimate Droid
Defeated Level 40 Boss
Everything-proof and maxed-buffs droid
Maxed every buff on a droid
Maximum Recharge buff
Flame, laser, and disruptor resistant droid
Maximum Armour buff
Maximum Damage buff
Achieved security level 7
Maximum Overdrive buff
Maximum Battery buff
Defeated Level 30 Boss
Achieved security level 6
Defeated Level 20 Boss
Buffed a droid in every aspect
Achieved security level 4
Achieved security level 5
Got Red Alert status
Defeated Level 10 Boss
Achieved security level 3
Command a full squad of 8 droids
Achieved security level 2
Achieved security level 1
Got Red Alert twice on one level
Achieved security level 8
8 droids in ascending security order
Captured 3 9-series robots in same squad
Escaped with 0 hitpoints and no squad
Fried 100 robots
Crushed 25 robots in doors
Destroyed 100 robots with the disruptor
Defeated a boss with only a Sec Level 1 droid remaining
Started a level with 8 droids, finished with only 1