Here is the full list of all 43 METAL MAX Xeno trophies - there are 26 bronze, 13 silver, 3 gold and 1 platinum.
Acquire all other trophies
Survive for 50 days
Defeat all WANTED monsters
Defeat each SoN at least once
Max out the ranks of one job
Make the Extinction Meter reach 0
Switch jobs at least 10 times among all members
Reveal the entire World Map
Find and acquire 100 buried items with the metal detector
Defeat 1,000 enemies in Shooting Mode
Max out the Nephilim rank of one piece of Nephtech equipment
Acquire 4 types of Nephtech bodies and 3 types of parts (at least one of each)
Unlock all songs at the Juke Box and play each one at least once
Defeat 3,333 enemies
Defeat 20 or more WANTED monsters
Defeat Catastropus
Raise a character's level to 91
Register all Bester Points
Travel across U-T Shinagawa
Stop all drilling equipment around Mishuku Base
Raise the Iron Base's technology level to 8
Make the battle power of one tank at least 5,000
Acquire at least 10 tanks
Reach the Underground Desert
Defeat 20 named monsters
Open the shutters at the entrance of U-T Shibuya South
Defeat 10 or more WANTED monsters
Install a Cherbourg and have a successful test
Defeat 8 or more SoNs
Defeat 1,000 enemies
Open the treasure chest at the top of Tokio Tower
Save Ittica
Record a DPT of 5,000 or more
Take the Liburo Dome books to the Iron Base
Arrive at the Electric Gate
Save Dylan
Defeat 100 enemies in Shooting Mode
Distribute Ace Points 30 times
Save Toni
Defeat 100 enemies
Arrive at the Atrium
Distribute Ace Points 10 times
Destroy 1 SoNs