Here is the full list of all 20 Rolling Adventure achievements.
Win one level
Win 15 levels
Win 30 levels
Jump 10 times to avoid obstacles
Jump 333 times
Jump 1000 times
Loss at least 10 times
Loss at least 100 times
Loss at least 250 times
Win a level in less than 20s
Win a level with 3 stars
Win 10 levels with 3 stars
Win 30 levels with 3 stars
Obtain 20 golden nuts
Obtain 60 golden nuts
Obtain 200 nuts
Play for at least 666 seconds :)
Use the turbo at least one time
Use the turbo 30 times
Use the turbo 115 times