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