Here is the full list of all 38 MISTROGUE: Mist and the Living Dungeons achievements.
Clear the Tutorial Dungeon Living Cave: Entrance and return to Lootgar
Clear the Living Cave for the first time
Clear the Feril Ruins for the first time
Clear the Maze of Mist for the first time
Clear the Living Cave twice
Clear the Living Cave three times
Clear the Feril Ruins twice
Clear the Feril Ruins three times
Clear the Maze of Mist twice
Clear the Maze of the Mist three times
Clear the Maze of Mist five times
Clear the Maze of Mist ten times
Clear the Maze of Mist with a carried weight of 5 or less
Defeat the Giant of the Ruins within 3 minutes
Defeat the Calamitous Aberration within 3 minutes
Defeat a total of 100 enemies
Defeat a total of 1000 enemies
Defeat a total of 5000 enemies
Make a total of 100 enemies fall
Obtain an SSR item
Deal over 5000 damage in a single hit to an enemy.
Defeat a total of 10 Green Goblins
Die a total of 10 times
Exceed 50,000 Gold in possession
Open 100 treasure chests
Clear the Maze of Mist in Hard Mode.
Defeat a total of 10 Blue Goblins
Clear the Feril Ruins in Hard Mode.
Clear the Living Cave in Hard Mode.
Defeat the boss on the 10th floor of the Endless Hyperspace.
Cleared the first Battle Road
Cleared the second Battle Road
Cleared the third Battle Road
Cleared the fourth Battle Road
Cleared the Ultimate Battle Road