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