Here is the full list of all 30 Trials of Azra achievements.
Defeat Betty, the Yeti.
Defeat Iris, the Pyromancer.
Defeat Thoros, the Minotaur.
Defeat Azra, the Archangel of Death.
Complete the 1st area without dying.
Complete the 2nd area without dying.
Complete the 3rd area without dying.
Complete the 4th area without dying.
Kill Sam with a possessed enemy.
Kill the 3 Kobolds guarding the cage.
Kill a family of Kobolds.
Pick up the hidden chicken.
Fix a leaking pipe.
Kill an Imp using a Rat.
Kill a Golem using the spell Orbital Sphere.
Kill a Teleporter using the spell Homing Missile.
Show off your ninja skills.
Upgrade Sam's health to the max.
Upgrade Sam's mana to the max.
Obtain all spells.
Buy every basic projectile upgrade.
Trick a Gargoyle into killing itself.
Defeat Betty without stunning her.
Defeat Iris without stunning her.
Defeat Thoros without stunning him.
Get the max reward after completing an area.
Make Levi get the stick 5 times.
Make Levi get the freesbee 5 times.
Feed the dog with a possessed enemy.
Drink a bottle of milk