Here is the full list of all 30 Convoy: A Tactical Roguelike trophies - there are 10 bronze, 15 silver, 4 gold and 1 platinum.
Complete all trophies
Defeat the boss
Kill 35 enemies in a single run
Kill 250 enemies in total
Kill 1000 enemies in total
Win the jackpot in the Lucky Peacock slotmachines
Travel 6000 KM in a single run
Defeat the TORVAK miniboss
Defeat the Raider miniboss
Defeat the Privateer miniboss
Defeat Andy
Kill an enemy without taking any damage
Get shot over a compression coil
Spend 10000 fuel in total
Win 10 consecutive battles with only the MCV in your convoy
Fully upgrade 4 units and the MCV in a convoy
Defeat the boss without doing any side objectives or radio signals
Win a combat without firing a shot
Defeat the boss without firing a shot
Defeat the boss without using Machine Guns, Cannons or Rocker Launchers
Defeat the boss without using Laser, Plasma or Railgun weapons
Defeat the boss with only light vehicles
Deliver all ship parts in a single drop
Steal some vehicles from a TORVAK base
Have an enemy unit kill another enemy unit
Have 2000 bolts to spare
Defeat the boss on medium difficulty
Defeat the boss on hard difficulty
Defeat the dragon
Complete twenty scenarios