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