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.
Destroy 200 bushes and trees on one of the Campaign levels. Trophy statistics are counted 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.
Complete all Campaign levels in Ace mode.
Hit the target on any 15 Campaign levels with 45% of the bullets in Rookie, Pilot, or Ace mode.
Win in Dogfight mode using your secondary weapon only and score at least 5 frags.
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.
Destroy 3 hostile planes with a single grenade on one of the Campaign levels. Trophy statistics are calculated for completed levels only.
250 crashes overall on Campaign and Air Combat levels. Trophy statistics are calculated for completed levels only.
Complete all Air Combat levels with an "A" rating.
Get the Ace Club supreme medal.
Get the full set of supreme medals.
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.
Complete all Campaign levels in Rookie, Pilot or Ace mode without crashing.
Destroy 1000 hostile aircrafts overall on Campaign and Air Combat levels. Trophy statistics are calculated for completed levels only.
50 wins in Dogfight mode.
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.
Complete all Campaign levels in Wing mode.