Here is the full list of all 30 Mystery Chronicle: One Way Heroics achievements.
Win 10 online matches in a row.
Win an online match.
Battle in 10 online matches.
Battle another hero in an online match for the first time.
Acquire all trophies.
Clear any world other than the tutorial on Easy.
Clear a world on Normal.
Clear a world on Hard.
Clear a world on Very Hard.
Defeat Fallen Angel Alma on Normal or higher difficulty.
Defeat Zeukrees, the Giant of Light.
Defeat Pluton.
Reach the End of the East.
Reach the End of Dreams.
Reach the end of the world.
Gain ability to customize the castle.
Expand the castle.
Recruit all residents.
Complete a quest that unlocks a class.
Unlock all classes.
Clear on Normal or higher difficulty with all classes.
Open 50 treasure chests on 1 adventure.
Open 100 treasure chests on 1 adventure.
Defeat 100 monsters on 1 adventure.
Defeat 200 monsters on 1 adventure.
Expand Dream Vault to maximum size.
Take 3 Allies with you on your adventure.
Defeat the Bug Emperor.
Obtain an extra medal.
Unlock all epilogues.