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