Here is the full list of all 39 Mobile Suit Gundam Battlefield Record U.C.0081 trophies - there are 22 bronze, 12 silver, 4 gold and 1 platinum.
All Story Mode Missions and Free Missions have been completed. (Any difficulty level)
Achieve Firing skill of 99.
500 Free Missions have been completed. (Any difficulty level)
Win a Battle Royal.
Defeat 100 enemies in Team Battle.
Shoot down 5000 enemies.
Defeat 50 enemies in Team Battle.
Win a Team Battle.
Acquire 500 mission clear prizes.
Clears 200 missions in Co-op Mode.
All Zeon stories have been completed. (Any difficulty level)
All Federation stories have been completed. (Any difficulty level)
Shoot down 1000 enemies.
Pilot level 100.
Total play time exceeds 30 hrs.
100 Free Missions have been completed. (Any difficulty level)
"Achieve score of 1,000,000."
Pilot level 50.
Clears 50 missions in Co-op Mode.
First Mission has been compmeted. (Any difficulty level)
All Trophies have been acquired.
All Federation stories have been completed on HARD.
All Zeon stories have been completed on HARD.
Acquire all parts.
Acquire all firearms.
Acquire all combat weapons.
Acquire all shields.
Acquire all Mobile Suits.
Acquire Silver Zaku.
Acquire Gold GM.
Pilot level 200.
Achieve Combat Skill of 99.
Achieve Defense Skill of 99.
Achieve Pilot Skill of 99.
Clears 500 missions in Co-op Mode.
Win 50 Team Battles.
Win 50 Battle Royals.
Defeat 50 enemies in Battle Royal.
Defeat 100 enemies in Battle Royal.