Here is the full list of all 10 FATE: Undiscovered Realms achievements.
Get 50 critical hits!
Destroy every chest, urn, barrel and wooden box on a single level.
Kill 5 enemies in 15 seconds
Reach the maximum level of Spear Skill.
Transform your pet in all the available companions.
Collect all 6 Fate cards in any one set.
Recover and return to the statues all the stolen equipment of the legendary heroes from Druantia and Typhoon.
Complete the game in Hardcore Mode.
Send your pet to town at least 10 times from the 40th floor.
Use any spell 100 times.