Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Triumph (40 points): Complete the single player campaign.
Allied Victory (40 points): Complete the cooperative campaign.
Battleship (10 points): Destroy five asteroids at once.
Destroyer (10 points): Destroy seven asteroids at once.
Abstinence (10 points): Complete a stage without collecting a Power-Up.
Untouchable (10 points): Complete a whole sector without dying once.
Hyperspeed (15 points): Finish a stage in less than 90 seconds.
Payoff (10 points): Score more than 500,000 points in a single game.
Jackpot (15 points): Score 1,500,000 points in a single game.
Survivor (10 points): Survive 3 stages without dying once.
Rock 'n' Roll (15 points): Destroy 50 big obstacles in a single game.

Additionally, there is one secret achievement:

Secret achievement (15 points): Unknown.