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