Here is the full list of all 14 Alexia Crow and the Cave of Heroes achievements.
Complete the first two puzzles and open the main gate
Create the two magic stones
Place the 3 objects on the Chronos room
Play the lira a song that Hermes like
Solve the puzzle that envolves the sphere pilars
Get the two keys of the game
Solve the 4 puzzles in the Gaia room
Solve the puzzle that helps Heracles to defeat the ciclops
Complete the 4 horses puzzle
Complete the clock puzzle in the first level
Place the two golden crosses in Typhoon cave
Solve the puzzles of the atlantis initiative
Solve the minotaur maze
Solve the crystal stones puzzle