Here is the full list of all 13 Starship Annihilator achievements.
You saved mankind!
You did it...
There were couple of steps...
Mankind has a chance...
Soon it's over...
It looks like you know what you're doing
This is a half way...
You killed the fourth, you are close to victory
Oh! This is the third one!
You have killed 666 enemies
Hey! You killed the second one.
You killed your first boss
You are the first