Here is the full list of all 20 PowBall Renaissance achievements.
Complete a level without firing any weapons or balls
Fire a weapon 200 times in one level
Launch 50 balls in one level
Collect 1000 Alchemite in one level
Finish level 25
Finish level 50
Finish level 100
Fly home with less than 5% shield
Kill 100 enemies
Kill 500 enemies
Kill 1000 enemies
Kill the helper bot
Acquire 9 MN-25 mining vessels
Destroy 1000 asteroids
Kill 250 enemies by ramming them
Heal yourself with less than 10% shield
Hoard 2000 Alchemite
Hoard 3000 Alchemite
Hoard 4000 Alchemite
Clear a level within 10 seconds