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