Here is the full list of all 44 Mobile Suit Gundam Extreme VS-Force trophies - there are 30 bronze, 10 silver, 3 gold and 1 platinum.
Acquired all trophies
All pilots' links have reached MAX
Used all MS to clear Missions
Achieved maximum Cost efficiency in all teams
Cleared 10 Missions without taking damage
Acquired all Haro medals
Cleared all Missions in Area 4
Cleared all Missions
Cleared Mission 「The Control Program (DC)」
Cleared Area 4
Cleared a Mission 10 times without fatality using only melee combat
Cleared Mission 「Gundam Fight, Ready… Go!!」
Acquired all MS
Used all warships in Missions
Cleared Area 3
Cleared all Missions in Area 3
Acquired all warships
Cleared Mission 「With Dreadful Memories」
Cleared 50 Missions
Cleared all Missions in Area 2
Cleared Mission 「Glittering Stars」
Captured your 100th base
Acquired 4 warships
Acquired 100 Haro medals
Named as Ace for the 50th time
Named as MVP for the 50th time
Used all Force Commands
Defeated 500 enemy MS, MA, warships
Cleared Area 2
Landed the winning blow 30 times
Cleared all Missions in Area 1
Cleared Mission 「Zeon's Final Defensive Line」
Acquired 20 MS
Links reach MAX for the first time
Cleared Mission 「The Battle of Jaburo」
Attempted to fire an empty weapon 50 times in a row
Cleared Area 1
Defeated 100 enemy MS, MA, warships
Hover for a total of 300 seconds or more
Browsed 5 pieces of information on MS, MA, warship
Captured a base for the first time
Named as MVP for the first time
Named as Ace for the first time
Commenced EXTREME-FORCE Mode