Here is the full list of all 9 Cat Quest II achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Obtained all 101 equipment!
Cleared all 73 dungeons!
Completed all 67 side quests!
Obtained all 12 spells!
Reached level 99!
Completed the Main Quest!
Unlocked 3 Royal Arts!
Entered the new continent!
Completed the first quest!