Complete the following achievements to unlock Xbox Live Gamerscore points for Batman: Arkham City.

I'm Batman (10 points): Become the Bat.
Acid Bath (10 points): Save the damsel, but is she in distress?.
Savior (10 points): Save the medical volunteers.
Chimney Sweep (10 points): There is only one way in.
One Armed Bandit (10 points): Hammer the point home.
Communication Breakdown (10 points): Clear the airwaves.
Gladiator (10 points): Last man standing.
Wrecking Ball (25 points): Stop the unstoppable.
Lost And Found (10 points): Uncover the secret of Arkham City.
Sand Storm (25 points): We are legion.
Hide And Seek (25 points): A deadly game of hide and seek.
Ghost Train (25 points): Fight for survival.
Freefall (25 points): Don't look down.
Exit Stage Right (50 points): All the world is a stage.
Forensic Expert (10 points): Collect enough evidence to locate the gun for hire.
Contract Terminated (25 points): Stop the contract operative.
Serial Killer (25 points): Track down the serial killer.
Mystery Stalker (15 points): Reveal the mystery watcher.
Distress Flare (5 points): Answer the call for help.
Broken Toys (25 points): Destroy it all.
Ring Ring (5 points): Answer a ringing phone.
Dial Z For Murder (25 points): Stop the phone booth killer.
Stop the Clock (15 points): Time is running out.
Bargaining Chip (15 points): Reunite the separated couple.
AR Knight (25 points): Complete all augmented reality training exercises.
Fully Loaded (10 points): Collect all of Batman's gadgets and upgrades.
Aggravated Assault (10 points): Stop all assaults in Arkham City.
IQ Test (10 points): Solve the first riddle.
Conundrum (20 points): Rescue the first hostage from Riddler.
Mastermind (20 points): Rescue the second hostage from Riddler.
Puzzler (30 points): Rescue the third hostage from Riddler.
Intellectual (30 points): Rescue the fourth hostage from Riddler.
Brainteaser (40 points): Rescue the fifth hostage from Riddler.
Genius (50 points): Rescue all the hostages from Riddler.
Bronze Revenge (10 points): Obtain 24 medals on the original Arkham City ranked maps (as Batman).
Silver Revenge (20 points): Obtain 48 medals on the original Arkham City ranked maps (as Batman).
Gold Revenge (40 points): Obtain all 72 medals on the original Arkham City ranked maps (as Batman).
Campaign Bronze (10 points): Obtain 24 medals on the original Arkham City ranked maps (as Batman).
Campaign Silver (20 points): Obtain 72 medals on the original Arkham City campaigns (as Batman).
Campaign Gold (40 points): Obtain all 108 medals on the original Arkham City campaigns (as Batman).
Flawless Freeflow Fighter 2.0 (5 points): Complete one combat challenge without taking damage (any character).
Twice Nightly (75 points): Complete New Game Plus.
Gotham Base Jumper (5 points): Jump off the tallest building in Arkham City and glide for 1 minute without touching the ground.
Pay Your Respects (5 points): A moment of remembrance.
Story Teller (10 points): Have 12 murderous dates with Calendar Man.
Catch (5 points): Find someone to play remote Batarang catch with.
50x Combo (5 points): Complete a combo of 50 moves (any play mode, any character).
Perfect Freeflow 2.0 (5 points): Perform a perfect combo including all of Batman's combat moves (any play mode).
Gadget Attack (5 points): Use 5 different Quickfire gadgets in one fight (any play mode).
Perfect Knight - Day 2 (75 points): Main Story, Side Missions, Upgrades, Collectables, New Game Plus and Riddlers Revenge (as Batman).