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