Here is the full list of all 51 Crystal Project achievements.
Open 100 treasure chests.
Conquer the trials.
Defeat 5 boss flames.
Learn a Monster Magic spell.
Discover 3 Crystals.
Open 50 treasure chests.
Defeat a boss flame.
Discover 7 Crystals.
Discover 12 Crystals.
Discover every Crystal.
Teleport to a far away land.
Teleport to an unknown world.
Obtain a Quintar companion.
Obtain an Ibek companion.
Obtain an Owl companion.
Obtain a Salmon companion.
Defeat 25 boss flames.
Learn every Monster Magic spell.
Acquire a Summon.
Acquire every Summon.
Change a party member's name.
Change a party member's gender.
Open 500 treasure chests.
Have a party member reach max level.
Breed a Golden Quintar.
Beat the game.
Beat the game's secret last boss.
Master the Warrior class.
Master the Monk class.
Master the Rogue class.
Master the Cleric class.
Master the Wizard class.
Master the Warlock class.
Master the Fencer class.
Master the Shaman class.
Master the Scholar class.
Master the Aegis class.
Master the Hunter class.
Master the Chemist class.
Master the Reaper class.
Master the Ninja class.
Master the Nomad class.
Master the Dervish class.
Master the Beatsmith class.
Master the Samurai class.
Master the Assassin class.
Master the Valkyrie class.
Master the Summoner class.
Master the Beastmaster class.
Master the Weaver class.
Master the Mimic class.