Here is the full list of all 41 Green Lantern: Rise of the Manhunters trophies - there are 27 bronze, 9 silver, 4 gold and 1 platinum.
Collect all trophies.
Purchase all Ring Power upgrades.
Purchase all upgrades.
Collect all 9 Green Meteorites.
Collect all 5 Blue Meteorites.
Clear all missions on Emerald Knight difficulty.
Complete the game on Poozer or Enforcer difficulty.
Clear Mission 10.
Clear Mission 9.
Defeat 20 enemies with Jet Fighter.
Purchase all Ring Surge upgrades.
Gain experience level 10.
Purchase all Construct upgrades.
Clear Mission 8.
Clear Mission 7.
Defeat 20 enemies with Mech Suit.
Make Green Lantern dizzy 10 times.
Defeat 10 enemies with Piston Blitz.
Defeat 20 enemies with Missile Pack.
Purchase all Attack upgrades.
Clear Mission 6.
Defeat 10 enemies with Blade Whip.
Perform a 99 hit combo.
Perform a 50 hit combo.
Defeat 10 enemies with Rocket Punch.
Defeat 10 enemies with Gatling Gun.
Clear Mission 5.
Clear Mission 4.
Defeat 20 enemies with Mace Storm.
Defeat 10 enemies with Baseball Bat.
Defeat 10 enemies with War Hammer.
Use Ring Surge 10 times.
Defeat 10 enemies with Hover Mines.
Clear Mission 3.
Gain experience level 5.
Clear Mission 2.
Clear a mission in Co-op.
Clear Mission 1.
Launch 20 enemies.
Defeat 10 enemies with Ring Blaster.
Perform a 20 hit combo.