Here is the full list of all 11 Hyper Space achievements.
Get 100 points in Arcade mode.
Play the Multiplayer VS mode.
Complete the Story mode.
Get a 20 star combo in Arcade mode.
Get a 50 star combo in Arcade mode.
Reach level 10 in Arcade mode.
Reach level 20 in Arcade mode.
Score 1.000 points in Arcade mode.
Score 2.500 points in Arcade mode.
Unlock all spaceships.
Get a total score of 50.000 points.