Here is the full list of all 13 Chicken Invaders 3 achievements.
Awarded for 90% coin collection in a single wave
Awarded for 90% shot accuracy in a single wave
Awarded for no deaths in a single star system
Awarded for performing a multikill of 30 or more enemies
Awarded for not using any missiles in a single star system
Awarded for 90% food collection in a single wave
Awarded for 90% kill ratio in a single star system
Awarded for not using any power-ups in a single star system
Awarded for completing an entire mission without using any missiles
Awarded for completing an entire mission without dying once
Awarded for completing a mission on the rookie difficulty level
Awarded for completing a mission on the veteran difficulty level
Awarded for completing a mission on the superstar hero difficulty level