Here is the full list of all 13 Mutant Mudds Super Challenge achievements.
Collect all songs
Beat the game
Try to escape the Final Boss by boosting to the roof
Collect all the characters
Collect one special character using another
Beat a level with no gems.
Get killed by a bomb as Bomb Monkey
Avoid killing any bad guys in a level where that's actually a challenge
Beat a level with checkpoints disabled
Get killed by spikes or lava
Go skydiving and survive
Beat final boss without getting hit
Beat the game with less than 100 deaths