Complete the following tasks to unlock PlayStation 3 trophy rewards.

Trophy	How to unlock
Arkham Analyst ( Bronze )	Solve 5% of riddler challenges.
Big Bang ( Silver )	Complete story mode on Easy difficulty.
Bigger Bang ( Silver )	Complete story mode on Normal difficulty.
Biggest Bang ( Silver )	Complete story mode on Hard difficulty.
Catch! ( Bronze )	Catch a Batarang (any play mode).
Conundrum Cracker ( Bronze )	Solve 55% of riddler challenges.
Crack The E Nigma ( Silver )	Solve every riddle on the island.
Cryptic Investigator ( Bronze )	Solve 10% of riddler challenges.
Flawless Freeflow Fighter ( Bronze )	Complete one combat challenge without taking damage.
Freakshow Rodeo ( Bronze )	Ride Titan henchman and knock down 10 thugs (any play mode).
Freeflow Bronze ( Bronze )	Achieve 8 medals on combat challenges.
Freeflow Combo 10 ( Bronze )	Complete a combo of 10 moves (any play mode).
Freeflow Combo 20 ( Silver )	Complete a combo of 20 moves (any play mode).
Freeflow Combo 40 ( Silver )	Complete a combo of 40 moves (any play mode).
Freeflow Combo 5 ( Bronze )	Complete a combo of 5 moves (any play mode).
Freeflow Gold ( Silver )	Achieve 24 medals on combat challenges.
Freeflow Perfection ( Silver )	Perform a perfect combo including all of Batman's combat moves (any play mode).
Freeflow Silver ( Bronze )	Achieve 16 medals on combat challenges.
Invisible Predator ( Bronze )	Complete one predator challenge by using only Silent Takedowns.
Lateral Thinker ( Bronze )	Solve 25% of riddler challenges.
Mano-a-mano ( Silver )	Defeat Titan henchman without using Batarangs (any play mode).
Mental Athlete ( Bronze )	Solve 70% of riddler challenges.
Mystery Solver ( Bronze )	Solve 40% of riddler challenges.
Night Glider ( Bronze )	Glide continuously for over 100m.
Party Pooper ( Bronze )	KO all the henchmen celebrating your arrival at the party.
Perfect Knight ( Gold )	100% Complete.
Predator Bronze ( Bronze )	Achieve 8 medals on predator challenges.
Predator Gold ( Silver )	Achieve 24 medals on predator challenges.
Predator Silver ( Bronze )	Achieve 16 medals on predator challenges.
Riddle Resolver ( Silver )	Solve 85% of riddler challenges.
Rope-a-dope-a-dope ( Bronze )	String up one henchman and drop him to surprise a second (any play mode)..
World's Greatest Detective ( Silver )	Spirit of Amadeus Arkham revealed.