For this achievement, you will need to complete the following goals:
Promoted to Airman (earn the Nascentes Morimur achievement)
Crash into 15 enemies
Complete a stage without using a continue
Finish any stage with an "A" rating
Finish any stage with a hit ratio over 75%
Destroy 100 stationary units
The easiest way to get this is through playing the first two stages, making sure to crash your plane into 15 enemies.
When you have done that, go into Boss Training mode and select the Matouschka boss, Argus Pytel as your pilot and the Slow Down capsule. Set your Primary Weapon, Sub-Weapon and Capsule levels to the highest possible options.
Now you just need to defeat the Matouschka boss with your full-power plane - be sure to use your Sub-Weapon a lot, as it is excellent for clearing out enemies. Be sure not to over-use your capsule, though, as this makes your rank go down.
After this, the only objective you might still need is to destroy100 stationary enemies. If you still need this, simply defeat Matouschka again - this should earn you enough kills.