Here is the full list of all 32 Asterism Basketball achievements.
Obtain all Asterism Honors.
Get 5 baskets in Classic.
Score at least 10000 in Contest.
Play on every starting stage.
Get 3 baskets on the last life in Classic.
Finish Century Dunk.
Play Shootaround for 10 minutes straight.
Get 100 baskets in Kepler Sector.
Get at least 7000 points in Tiny Target Practice.
Get at least 5000 points in Giant Crusher.
Beat the default highscore of 5000 in Classic.
Get 100 baskets in Aurora Sector.
Get 10000 points in Alien Attack.
Get 30 baskets in Century Dunk.
Get 7 baskets in a row.
Throw 120 balls in a single game of Continuous Contest.
End any mode with score divisible by 1000.
Get 1000 baskets in total.
Finish the Asterism Pentathlon twice.
Destroy 999 spaceships.
Get 5 baskets in All-Star Jam.
Get at least 10000 points in Tiny Target Practice.
Get 5000 points in Alien Attack.
Get 100 baskets in Mars Sector.
Get 10 baskets with 5 different balls.
Get 100 baskets in Outer Space Sector.
Get 100 baskets in Solar Sector.
Finish the Asterism Pentathlon.
Get at least 15000 points in Contest.
Get 100 baskets in Space Eye Sector.
Unlock 11 stages and 15 balls.