Here is the full list of all 18 Mighty Goose achievements.
Complete Level 3
Kill 1000 enemies
Honk 100 times
Complete the Krak'Bak
Complete Level 2
Complete Level 1
Defeat a boss under 1 minute
Complete Level 4
Defeat the Void King
kill 10000 enemies
Complete a level under 5 minutes
Collect a total of 10000 coins
Get S rank on all levels
Activate new game plus
Complete all new game plus levels
Save the lost miner
Befriend MetaWheel
Defeat the forge boss