Here is the full list of all 52 Arcane Arts Academy achievements.
Collect crowns by performing side tasks
Complete levels with at least 1 star
Complete all levels in the bookshop
Serve books in a bookshop
Complete all levels in the laboratory
Make a crystal potion in the laboratory
Complete all levels in the courtyard
Serve sets of clothes in the courtyard
Complete all levels in the glasshouse
Find the cats
Grow a magic flower in the glasshouse
Bring 20 customers to anger and leave
Complete all levels in the clocktower
Fire up and win an already played level 5 times
Expose magic lenses in the clocktower
Watch all the scenes
Complete levels with 3 stars
Collect diamonds
Serve customers with 5 hearts at the checkout
Get "all clean" bonus on 10 levels
Get a bonus for full orders
Get a bonus for quick service
Complete the tutorial
Decorate Erika's room