Here is the full list of all 15 Chicken Invaders 4 achievements.
Awarded for completing a mission on the rookie difficulty level
Awarded for not using any missiles in a single star system
Awarded for 90% shot accuracy in a single wave
Awarded for 90% coin collection in a single wave
Awarded for no deaths in a single star system
Awarded for not using satellites in a single star system
Awarded for 90% kill ratio in a single star system
Awarded for performing a multikill of 30 or more enemies
Awarded for 90% food collection in a single wave
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 using satellites
Awarded for completing an entire mission without dying once
Awarded for completing a mission on the veteran difficulty level
Awarded for completing a mission on the superstar hero difficulty level