Here is the full list of all 44 FAIRY TAIL trophies - there are 30 bronze, 11 silver, 2 gold and 1 platinum.
Acquired all trophies.
Completed all requests.
Performed Magical Foundation Growth.
Get all of the rewards from Nikora.
Defeated a rare monster.
Destroyed all giant objects with Over Damage.
Responded to all community service requests.
Dealt 1,000,000 damage with Magic Chain.
Activated Mavis' Law.
Participated in a Link Party with everyone.
Cleared "Gildarts Throws Down the Gauntlet".
Completed all Guild Rank Goals.
Synthesized a Grade 5 Lacrima.
Became number one in the guild ranking.
Reached Character Rank 10.
Upgraded all facilities to maximum.
Attained Guild Rank S.
Defeated Ikusa-Tsunagi.
Defeated Mard Geer.
Summoned the Celestial Spirit King.
Dealt 100,000 damage with Magic Chain.
Raised Bond Level of Team 10 to 3.
Used Link Party.
Used Link Hunt.
Upgraded all facilities.
Used Last Ages.
Crowned Champion of the Grand Magic Games.
Completed 50 requests.
Reached Character Rank 7.
Attained Guild Rank A.
Raised Bond Level of Team 5 to 2.
Destroyed 5 objects with Over Damage.
Attained Guild Rank B.
Arrived in Crocus.
Unlocked the Second Origin.
Completed 20 requests.
Raised Bond Level of Team 3 to 1.
Reached Character Rank 3.
Completed a 5 chain with Magic Chain.
Won a duel.
Completed 5 requests.
Attained Guild Rank C.
Upgraded a facility.
Went back to Lucy's house.