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