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