Here is the full list of all 11 Safe Climbing achievements.
You died for the first time
Complete the game without dying
Defeat the giant gorilla
Fall in the bones mountain
You have reached the top alive... or not
Reach the top in less than 5 minutes
Reach the top in less than 10 minutes
Reach the top in less than 20 minutes
Find out if the alien has good intentions
Find a monument never seen before
Escape of that friendly lava golems