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