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