Here is the full list of all 13 Star Wars: Jedi Starfighter trophies - there are 9 bronze, 3 silver and 1 gold.
Complete all training missions.
Complete a mission using cooperative play.
Unlock all one-player Bonus Missions.
Unlock all two-player Bonus Missions.
Unlock every ship.
Complete all Act I missions on any difficulty.
Complete all Act II missions on any difficulty.
Complete a mission without taking any damage.
Complete every hidden objective.
Complete every mission on the Easy difficulty.
Complete every mission on the Medium difficulty.
Complete every mission on the Hard difficulty.
Complete every regular and bonus objective for every mission.