Here is the full list of all 12 BasCatball Saturn: Basketball & Cat achievements.
Pass the level 5
Pass the level 10
Pass the level 20
Pass the level 30
Complete 5 levels without resetting
Complete 10 levels without resetting
Complete 15 levels without resetting
Use a portal
Press a Button
Have your ball stolen by an enemy
Restart the game
Reset the game 20 times