Here is the full list of all 43 The Academy: The First Riddle achievements.
Take pictures of all your colleagues
Take 3 pictures with the camera
Solve 15 puzzles
Find 10 hints
Take a bath
Play 3 arcade games
Attend the Painting class
Make time for a study session
Solve 5 puzzles
Solve a puzzle in less than a minute
Finish the entrance exam
Talk to every classmate
Make time for a study session every day
Take a bath 3 days in a row
Flush the toilet and wash your hands afterwards!
Solve 50 puzzles
Solve all the puzzles
Finish the game using no hints
Finish the game using less than 20 hints
Find 30 hints
Find 100 hints
Solve 3 paper puzzles
Solve all the paper puzzles
Solve 7 library book puzzles
Solve every book puzzle
Finish 10 sidequests
Take a picture of a pinecone on a tree
Find the sculpture
Find the device
Get 5 right answers in class
Get 5 wrong answers in class
Find the hidden safe
Take pictures of all the butterflies
Take pictures of all blue birds
Take pictures of all the graffiti
Take pictures of all the statues
Re-watch the movie about the baron
Finish the final exam
Save professor Wilson
Attend the First Aid class
Attend Self-defense class
Attend photography class
Attend the Writing class