Here is the full list of all 13 Mole Control achievements.
Complete the first adventure level.
Complete adventure mode.
Complete time attack mode.
Collect all the golden moles.
Awarded for extensive use of your jetpack.
Be the best, complete any level quicker than Marius.
Awarded for extensive use of bomb moles.
Awarded for extensive use of shuffle moles.
Awarded for extensive use of lure moles.
Awarded for extensive use of safezone moles.
Awarded for extensive use of mole-tiplier moles.
Destroy loads of moles in one go with a bomb and mole-tiplier combo.
Collect 5 moles in quick succession.