Here is the full list of all 8 Aggressor achievements.
Exceed mach 1 (1224 km/h).
Bring another plane down in a mission by ramming it.
Destroy every hostile entity in a mission.
Unlock the 5000 kg bomb.
Unlock the 45mm gunpod.
Exceed mach 2 (2400 km/h).
Make your first kill in a mission.
Win the air race training mission against AI opponents.