Here is the full list of all 13 Alpacapaca Dash achievements.
Be killed by and enemy for the first time.
Reach the rainbow.
Slay your first enemy.
Let the Gauge go empty.
Unlock all alpacas.
Get the upgrade World Conqueror.
Slay 100 enemies.
Shoot laser for 6 seconds.
Shoot laser for 5 seconds.
Reach the imprisoned Goddess.
Fail to break the crystal.
Break the crystal and release the Goddess.
Slay 500 enemies.