Here is the full list of all 19 Sky Fighter trophies - there are 17 bronze and 2 silver.
Complete all Campaign levels in Rookie, Pilot or Ace mode with an "A" rating.
Complete all Campaign levels in Ace mode.
Complete all Campaign levels in Wing mode.
Get the Ace Club supreme medal.
Complete all Air Combat levels with an "A" rating.
Get the full set of supreme medals.
Destroy 5 hostile fighters with missiles on one of the Campaign levels in Rookie, or Pilot, or Ace mode. One missile must destroy one fighter. Trophy statistics are calculated for completed levels only.
Hit the target on any 15 Campaign levels with 45% of the bullets in Rookie, Pilot, or Ace mode.
Complete one of the Campaign levels in Rookie, or Pilot, or Ace mode putting out your burning airplane and surviving the mission. Trophy statistics are calculated for completed levels only.
Shoot 20 hostile parachutists on one of the Campaign levels in Rookie, or Pilot, or Ace mode. Trophy statistics are calculated for completed levels only.
Destroy 200 bushes and trees on one of the Campaign levels. Trophy statistics are counted for completed levels only.
Win in Dogfight mode using your secondary weapon only and score at least 5 frags.
Destroy 1000 hostile aircrafts overall on Campaign and Air Combat levels. Trophy statistics are calculated for completed levels only.
50 wins in Dogfight mode.
Complete all Campaign levels in Rookie, Pilot or Ace mode without crashing.
250 crashes overall on Campaign and Air Combat levels. Trophy statistics are calculated for completed levels only.
Obtain "Decimation!" (destroy 10 hostile objects in a row with a machine-gun) chain on one of the Campaign (in Rookie, Pilot or Ace mode) or Air Combat levels. Trophy statistics are counted for completed levels only.
Win in Dogfight mode facing 7 AI Ace fighters and score at least 5 frags.
Destroy 3 hostile planes with a single grenade on one of the Campaign levels. Trophy statistics are calculated for completed levels only.