Here is the full list of all 26 Inkulinati achievements.
Complete the Tutorial.
Complete last Advanced Lesson.
Win every Advanced Lesson.
Win the first battle during your Journey.
Defeat the Master.
Defeat the Master after the Resoiréection.
Defeat Godfrey.
Defeat Hildegard.
Defeat Dante.
Defeat Death on Easy or Normal Mode.
Defeat Death on Hard Mode.
Win a battle without any Beasts at the end during Journey Mode.
Collect five different Beast races in one run.
Win a battle in Journey Mode without taking any Damage to your Tiny Inkulinati.
Win a battle in Journey Mode while your Tiny Inkulinati has just 1 Health remaining.
Win an Elite Battle during your Journey.
Collect a total of 5000 Prestige points.
One-shot a Beast.
Turn a friendly Beast into a Heretic.
Kill a Heretic with a Bishop.
Kill an enemy that killed a friendly Beast.
Kill an enemy with a friendly Beast that has 1 Health remaining.
Defeat Death on Master Mode.
Defeat Ape Profesor.
Defeat Francis.
Win the last battle in Act VII.