Here is the full list of all 26 Last Wings trophies - there are 10 bronze, 9 silver, 6 gold and 1 platinum.
Collect all trophies of the game
Achieve level 25
Shoot down 1500 enemies
Being MVP 30 times in Team Attack
Win 20 matches without dying, in any game mode
Win 100 matches
Reach level 20
Win 10 matches without dying, in any game mode
Achieve level 15
Win 50 matches
Achieve Hexa Kill 10 times
Shoot down 500 enemies
Achieve level 10
Destroy 10 enemy bases
Win 10 matches in a row, in any game mode, on Hard or Insane levels
Play all maps of Last Wings
Win in all game modes (online or offline)
Win 10 matches
Shoot down 100 enemies with the Machine gun
Being MVP for the first time in Team Attack
Shoot down 100 enemies
Achieve level 5
Win a match without dying, in any game mode
Shoot down 30 enemies with the Machine gun
Win first match, in any mode
Eliminate your first opponent