Here is the full list of all 16 Boratium Wars achievements.
5 Matches Completed
20 Matches Completed
40 Matches Completed
75 Matches Completed
Local Highscore Achieved
Global Top Score Achieved
Top Score in the Galaxy
Owns an Orthax
Owns a Mutex
Owns a Drackle
Owns a Mufuga
Owns a Kunis
Owns a Cobalt
150+ Simultaneous Chain Explosions
Owns a Stutok
Owns a Bilalicus