Here is the full list of all 15 Starlaxis Supernova Edition achievements.
Finish ALL missions with an "A".
Defeat at least 50 enemies in the Star Challenge mode.
Defeat at least 99 enemies in the Star Challenge mode.
Unlock all 6 commanders.
Install all upgrades.
Finish mission 4.6 without burning up any cube.
Finish mission 4.8.
Unlock the extra level in mission 1, 2, 3 and 4.
Unlock mission 5.
Finish mission 4.3 without getting caught by a black hole.
Unlock all ships.
Find every single one of Sniper's hideouts in mission 3.5 at first try.
Finish mission 3.8 without getting hit by Tilas Star Crawler.
Defeat the Raptor in mission 1.4 without getting hit by it.
Finish mission 1.8 with an advantage of at least 15 fields.