Here is the full list of all 43 Neo ATLAS 1469 achievements.
Proved that the world is a sphere.
Discovered Zipangu.
Arrived in India.
Recruited Pedro Barbosa as an admiral.
Arrived at the South African Cape.
Gained the ability to dowse.
Recruited Luis Baldi as an admiral.
Recruited Maria Almedia as an admiral.
Completed a trade contract.
Antonio Gómez has returned to being an admiral.
Recruited Fransisco Peres as an admiral.
Obtained all Achievements.
Recruited Abtu as an admiral.
Sancti Solis has returned to being an admiral.
Phan Rojas has returned to being an admiral.
Discovered the new continent.
Discovered the legendary Atlantis.
Obtained Jidale's Silver Pendulum.
Obtained Jidale's Gold Pendulum.
Discovered all types of spices.
Discovered all types of gemstones.
Discovered all types of masks.
Discovered all types of alcohol.
Discovered an unidentified flying object.
Discovered the bones of Ivalarc.
Completed the category of 「Local Products」 in the encyclopedia.
Completed the category of 「Item」 in the encyclopedia.
Completed the category of 「Location」 in the encyclopedia.
Completed the category of 「Creature」 in the encyclopedia.
Completed the category of 「Treasure」 in the encyclopedia.
Completed the category of 「Music」 in the encyclopedia.
Completed the category of 「Title」 in the encyclopedia.
Completed the category of 「Miscellaneous」 in the encyclopedia.
Gained the ability to build every kind of ship.
Recruited every last admiral.
Cleared all of the episode quests.
Defined 100% of the map.
Proved that the edge of the world is surrounded by waterfalls.
Discovered the titan that shoulders the world.
Discovered the elephant, tortoise and snake that support the world.
Proved that the Atlantic Ocean is a gigantic lake surrounded by landmasses.
Completed the encyclopedia.
Discovered all types of world views.