Here is the full list of all 18 Ion Assault achievements.
Destroy five asteroids at once.
Destroy seven asteroids at once.
Destroy 50 big asteroids in a single game.
Finished a stage in less than 90 seconds.
Complete a regular stage without collecting a single Power-Up.
Completed the single player campaign.
Complete a whole sector without dying once.
Score exceeds 500,000 points (Campaign).
Score exceeds 1,500,000 points (Campaign).
Survive 3 stages in a row without losing a life.
Get two extra-lives with a single score upload.
Score exceeds 500,000 points (Survival).
Score exceeds 1,000,000 points (Survival).
Score exceeds 2,500,000 points (Survival).
Score exceeds 5,000,000 points (Survival).
Score exceeds 10,000,000 points (Survival).
Score exceeds 3,000,000 points (Campaign).
Score exceeds 5,000,000 points (Campaign).