Here is the full list of all 13 Alpacapaca Dash achievements.
Reach the rainbow.
Slay 100 enemies.
Let the Gauge go empty.
Slay your first enemy.
Be killed by and enemy for the first time.
Unlock all alpacas.
Get the upgrade World Conqueror.
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.