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