Here is the full list of all 63 Earth Defense Force 2: Invaders from Planet Space trophies - there are 58 bronze, 3 silver, 1 gold and 1 platinum.
Obtain all other trophies.
Take down 4000 Imperial Guard.
Take down 7000 UFOs.
Defeat 1000 enemies with tanks.
Defeat 200 enemies with tanks.
Defeat 250 enemies with bikes.
Defeat 50 enemies with bikes.
Defeat 500 enemies with helicopters.
Defeat 100 enemies with helicopters.
Defeat Solas and Cyborg Solas 40 times in total.
Defeat 9 Solas Kings.
Take down 9 Motherships.
Take down 9 Adans.
Obtain 100% of all available weapons.
Clear all missions on Easy as an Infantryman.
Clear all missions on Easy as a Pale Wing.
Take down 250 Carriers.
Clear all missions on Easy as an Air Raider.
Destroy 300 Darogas.
Defeat 6000 Baus.
Clear all missions on Normal as an Air Raider.
Clear all missions on Normal an Infantryman.
Take down 20 Mega Bombers.
Take down 100 Ace Fighters.
Clear all missions on Hard as an Air Raider.
Defeat 30 Bau Lords.
Defeat 50 Queens.
In Co-op mode, rescue other players 120 times.
Clear all missions on Inferno as a Pale Wing.
Clear all missions on Inferno as an Infantryman.
Clear all missions on Hard as an Infantryman.
Clear all missions on Inferno as an Air Raider.
Take down 250 Bombers.
Heal another player with a Reverser-type weapon in Co-op mode.
Destroy 100 Deroys.
Take down 200 Shield Bearers.
In Co-op mode, rescue other players 50 times.
Clear all missions on Hardest as an Infantryman.
Destroy 30 Insect Hills.
Clear all missions on Normal as a Pale Wing.
Obtain 75% of all available weapons.
Clear all missions on Hardest as an Air Raider.
Clear all missions on Hardest as a Pale Wing.
Defeat 1500 mutated insects.
Reach 4000 armor as an Infantrymen.
Reach 4000 armor as an Air Raider.
Obtain 50% of all available weapons.
Send 10 chat messages to another player in the room in Co-op mode.
Defeat 100 Dragon Centipedes.
Clear all missions on Hard as a Pale Wing.
Reach 2000 armor as an Infantryman.
Destroy Gilio and Giliora 180 times in total.
Reach 2000 armor as an Air Raider.
Reach 2000 armor as a Pale Wing.
Defeat 10000 giant insects.
In Co-op mode, rescue other players 5 times.
Send 10 chat messages to another player during mission in Co-op mode.
Reach 1000 armor as a Pale Wing.
Obtain 25% of all available weapons.
Obtain 10% of all available weapons.
Obtain 5% of all available weapons.
Acquire 30 armor boxes in a single mission.
Acquire 15 weapon boxes in a single mission.