Complete Episode 1 on any difficulty
Complete Episode 2 on Normal or Higher (No Pandora's Box)
Complete Episode 3 on Normal or Higher (No Pandora's Box)
Complete Episode 4 on Normal or Higher (No Pandora's Box)
Complete Episode 5 on Normal or Higher (No Pandora's Box)
Complete Episode 6 on Normal or Higher (No Pandora's Box)
Complete Episode 7 on Normal or Higher (No Pandora's Box)
Complete Episode 2 on Hard or Higher (All other Pandora's Box settings Normal)
Complete Episode 3 on Hard or Higher (All other Pandora's Box settings Normal)
Complete Episode 4 on Hard or Higher (All other Pandora's Box settings Normal)
Complete Episode 5 on Hard or Higher (All other Pandora's Box settings Normal)
Complete Episode 6 on Hard or Higher (All other Pandora's Box settings Normal)
Complete Episode 7 on Hard or Higher (All other Pandora's Box settings Normal)
Obtain a 100% Shot Down Ratio in Episode 2 (No Pandora's Box)
Obtain a 100% Shot Down Ratio in Episode 3 (No Pandora's Box)
Obtain a 100% Shot Down Ratio in Episode 4 (No Pandora's Box)
Obtain a 100% Shot Down Ratio in Episode 5 (No Pandora's Box)
Obtain a 100% Shot Down Ratio in Episode 6 (No Pandora's Box)
Obtain a 100% Total Shot Down Ratio and the rank of Winged Death (No Pandora's Box)
Doing so will deactivate most achievements, though...
Lagi has evolved into Armornite (No Pandora's Box)
Lagi has evolved into Skydart (No Pandora's Box)
Lagi has evolved into Brigadewing (No Pandora's Box)
Lagi has evolved into Type 01 (No Pandora's Box)
Obtain 100% shot-down ratio in Episodes 2-6 (All Time Bests - No Pandora's Box)
Finish Zero Space Episode 1 with a time under 7 seconds
Finish Zero Space Episode 2 with a time under 10 seconds
Finish Zero Space Episode 3 with a time under 10 seconds
Finish Zero Space Episode 4 with a time under 10 seconds
Finish Zero Space Episode 5 with a time under 8 seconds
Finish Zero Space Episode 6 with a time under 34 seconds