Here is the full list of all 15 The Sky Climber achievements.
Score 3000 points
Grab 15 Snacks
Explode 50 Barrels
Grab 10 Snacks
Grab 5 Snacks
Use your Hammer 10 times
Use your Hammer 50 times
Use your Hammer 100 times
Activate 15 Switches
Score 1000 points
Explode 10 Barrels
Activate 5 Switches
See the Game Over Screen for the First Time
Score 5000 points
Explode 100 Barrels