Here is the full list of all 22 Etrian Odyssey HD achievements.
Reached the Sixth Stratum.
Defeated the Etreant.
Reached the Fifth Stratum.
Dealt 1,000 damage with a single hit.
Unlocked the Hexer class.
Defeated a boss in a single turn.
Reached the Fourth Stratum.
Unlocked the Ronin class.
Reached the Third Stratum.
Reached the Second Stratum.
Reached the First Stratum.
Obtained all other achievements.
Defeated the boss of the Sixth Stratum on Expert difficulty.
Defeated the Yggdrasil Core.
Defeated an Yggdrasil Bud, Yggdrasil Sprout, and Yggdrasil Clover.
Retired an adventurer.
Let an adventurer rest.
Obtained more than 250,000 Ental.
Completed the quest "The bandit's treasure".
Defeated the Wyrm.
Defeated the Drake.
Defeated the Dragon.