Here is the full list of all 12 Spirit achievements.
Completed the first Adventure level
Completed Adventure Mode
Ran Spirit Sprint in under 11 seconds
Achieved 20 points on Whack a Mole 1
Achieved 31 points on Whack a Mole 2
Had a dino-mite happy time
What? Does the fox dance?
Destroyed a poop
Experienced night time in Free Mode
Experienced your first natural disaster
Destroyed 10 weeds
Play 10 games in Free Mode