Here is the full list of all 18 Shooting Blaster Big Bang Boom achievements.
Unlock Omega Fighter
Unlock DDF Fighter
Unlock Maruk 55
Unlock Veeger X6
Unlock DDS Corvette
Save Planet Earth and the Human Species by defeating Level 200
Destroy 100 Scout-class ships
Destroy 10,000 Scout-class ships
Destroy 1,000,000 Scout-class ships
Destroy 100 Small-class ships
Destroy 10,000 Small-class ships
Destroy 1,000,000 Small-class ships
Destroy 100 Medium-class ships
Destroy 1,000 Medium-class ships
Destroy 10,000 Medium-class ships
Destroy 10 Large-class ships
Destroy 100 Large-class ships
Destroy 1,000 Large-class ships