Here is the full list of all 10 Gooblins achievements.
Make your very first combo.
Make 3 combos in a row
Make 5 combos in a row
Destroy 10 blue shots from Gooblinss in a row
Destroy 10 red shots from Gooblinss in a row
Destroy 5 Kamikaze Gooblins
Be defeated by a Kamikaze Gooblin
Play on 360 Mode
Deflect 5 blue shots in a row
Deflect 5 red shots in a row