Here is the full list of all 46 Lion Quest achievements.
Found all Gems
Played 50 games of competitive Lion Quest VS multiplayer
Played Lion Quest VS on all of the multiplayer maps
Played 10 games of competitive Lion Quest VS multiplayer
Cleared Level 1–9 as Roy the Pig
Cleared Level 1–9 as Brendon the Cat
Cleared Level 1–9 as Wordsworth the Panda
Cleared Level 1–9 as Tracy the Elephant
Cleared Level 1–9 as Leslie the Tiger
Cleared Level 1–9 as Ronald the Bear
Unlocked Leslie the Tiger
Every item in the Lion Quest gift shop is sold out
Unlocked Wordsworth the Panda
Cleared Level 1–9 as Mildred the Owl
Unlocked Tracy the Elephant
Cleared Level X3 – Patience
Cleared Level X2 – Turbine
Cleared Level X1 – Gauntlet
Unlocked Brendon the Cat
Found 1 Gem
Achieved a top three high score in Lion Quest Arcade (intermediate)
Cleared intermediate mode in Lion Quest Arcade
Cleared Level 1–9 as Jefferson the Fox
Unlocked Roy the Pig
Unlocked Mildred the Owl
Cleared Level 1–9 as Jethro the Lion
Unlocked Ronald the Bear
Unlocked Jefferson the Fox
Cleared Level 5 – Zen Garden
Found 1 Key
Cleared Level 7 – Skull Island
Cleared Level 8 – Secret Lagoon
Cleared Level 4 – Outer Space
Achieved a top three high score in Lion Quest Arcade (beginner)
Cleared Level 2 – Red Cube
Cleared beginner mode in Lion Quest Arcade
Played a game of Lion Quest VS against the A.I.
Cleared Level 6 – Tidal Station
Cleared Level 3 – County Fair
Cleared Level 1 – Shooting Rockets
Found all Keys
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Cleared advanced mode in Lion Quest Arcade
Cleared expert mode in Lion Quest Arcade
Achieved a top three high score in Lion Quest Arcade (expert))