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