Here is the full list of all 40 Dragon Lapis achievements.
Got a party together.
Unlocked 100 growth plate slots.
Unlocked all slots on a growth plate.
Set out on an adventure.
Watched the opening.
Obtained a ship.
Cleared Adri Desert.
Obtained the Light Lapis.
Became able to ride the Gold Dragon.
Defeated the Silver Dragon, Ishtar.
Happy End
Earned the Happy Ending.
Cleared the first trial in the Goddess Shrine.
Cleared the second trial in the Goddess Shrine.
Cleared the third trial in the Goddess Shrine.
Cleared the fourth trial in the Goddess Shrine.
Cleared the fifth trial in the Goddess Shrine.
Cleared the Goddess Enah's first challenge.
Cleared the Goddess Enah's second challenge.
Cleared the Goddess Enah's third challenge.
Gained total victory at the Heroes' Grave.
Defeated boss in Lodun Mine.
Defeated boss in Rige Woods.
Defeated boss in Wimdos Spire.
Unlocked 500 growth plate slots.
Became a hero.
Became a hi-dragonite.
Mastered all warrior-class jobs.
Mastered all mage-class jobs.
Mastered all priest-class jobs.
Mastered all thief-class jobs.
Mastered all pharmacist-class jobs.
Mastered all mystic-class jobs.
Mastered all peddler-class jobs.
Mastered all soldier-class jobs.
Filled in 100 enemies for Monster Guide.
Filled in 200 enemies for Monster Guide.
Cleared 100 missions.
Cleared all subquests.
Defeated 100 metal monsters.