Here is the full list of all 30 Zamarian achievements.
Complete level 1
Complete level 5
Complete level 10
Complete level 20
Complete level 30
Complete level 50
Complete level 100
Kill the Zamarian boss
Kill the Zamarian boss twice
Kill the Zamarian boss 5 times
Kill the Zamarian boss 10 times
Kill the multiplayer Zamarian boss
Kill the multiplayer Zamarian boss twice
Kill the multiplayer Zamarian boss 5 times
Kill the multiplayer Zamarian boss 10 times
Consecutively swipe 30 mines from the Crab boss and other bosses before crashing into a mine
Consecutively swipe 100 mines from the Crab boss and other bosses before crashing into a mine
Complete the Terminatus level without buying any fighter ship or weapon
Complete the Bartizan Cruiser level without buying any fighter ship or weapon
Complete the Dragonflyon level without buying any fighter ship or weapon
Complete the Craborian level without buying any fighter ship or weapon
Complete the Regegade Cruiser level without buying any fighter ship or weapon
Complete the Knight Zamari level without buying any fighter ship or weapon
Complete the Mantisian level without buying any fighter ship or weapon
Complete the Fratala level without buying any fighter ship or weapon
Complete the Predatorian level without buying any fighter ship or weapon
Complete the Phoenixian level without buying any fighter ship or weapon
Complete a streak of three levels without buying any fighter ship or weapon
Complete a streak of five levels without buying any fighter ship or weapon
Beat the high score