Here is the full list of all 17 Super Hamster Ball achievements.
Pathfinder: Clear the 4 stages of 'Pet Shop Yard Underground' with 3 stars
Clear 3 boss stages and gain 3 stars.
Clear 20 stages in Pathfinder mode with 3 stars
Adventurer mode: Gain Coins 10 times at a Resting Stop
Adventurer mode: Clear 1 world within 10 minutes
Adventurer mode: Clear 1 world with no mistakes
Have 1,000 Coins
Get 5 Hamsterballs
Own 5 hamsters
Reach 100,000 Adventure Score
Reach 200,000 Adventure Score
Reach 400,000 Adventure Score
Clear 1-1
Pathfinder mode: Clear 1 world
Adventurer mode: Clear 1 world
Open 100 doors
Defeat 100 monsters