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