Full list of all 81 Borderlands: Game of the Year Edition trophies - 59 bronze, 17 silver, 4 gold and 1 platinum.The base game contains 51 trophies, and there are 4 DLC packs containing 30 trophies.
Killed the Vault Boss
Defeated the Rakk Hive, the Vault Boss, Sledge, Krom, or Flynt in a co-op game
Killed Ned. Again.
Completed each of the larger challenges in all 3 coliseums