Here is the full list of unlockable achievements in Batman: Arkham City for the Xbox 360.
There are no secret achievements to unlock in this game.
50x Combo (5) – Complete a combo of 50 moves (any play mode, any character)
Acid Bath (10) – Save the damsel, but is she in distress?
Aggravated Assault (10) – Stop all assaults in Arkham City
AR Knight (25) – Complete all augmented reality training exercises
Bargaining Chip (15) – Reunite the separated couple
Brainteaser (40) – Rescue the fifth hostage from Riddler
Broken Toys (25) – Destroy it all
Bronze Revenge (10) – Obtain 24 medals on the original Arkham City ranked maps (as Batman)
Campaign Bronze (10) – Obtain 24 medals on the original Arkham City ranked maps (as Batman)
Campaign Gold (40) – Obtain all 108 medals on the original Arkham City campaigns (as Batman)
Campaign Silver (20) – Obtain 72 medals on the original Arkham City campaigns (as Batman)
Catch (5) – Find someone to play remote Batarang catch with
Chimney Sweep (10) – There is only one way in
Communication Breakdown (10) – Clear the airwaves
Contract Terminated (25) – Stop the contract operative
Conundrum (20) – Rescue the first hostage from Riddler
Dial Z For Murder (25) – Stop the phone booth killer
Distress Flare (5) – Answer the call for help
Exit Stage Right (50) – All the world is a stage
Flawless Freeflow Fighter 2.0 (5) – Complete one combat challenge without taking damage (any character)
Forensic Expert (10) – Collect enough evidence to locate the gun for hire
Freefall (25) – Don’t look down
Fully Loaded (10) – Collect all of Batman’s gadgets and upgrades
Gadget Attack (5) – Use 5 different Quickfire gadgets in one fight (any play mode)
Genius (50) – Rescue all the hostages from Riddler
Ghost Train (25) – Fight for survival
Gladiator (10) – Last man standing
Gold Revenge (40) – Obtain all 72 medals on the original Arkham City ranked maps (as Batman)
Gotham Base Jumper (5) – Jump off the tallest building in Arkham City and glide for 1 minute without touching the ground
Hide And Seek (25) – A deadly game of hide and seek
I’m Batman (10) – Become the Bat
Intellectual (30) – Rescue the fourth hostage from Riddler
IQ Test (10) – Solve the first riddle
Lost And Found (10) – Uncover the secret of Arkham City
Mastermind (20) – Rescue the second hostage from Riddler
Mystery Stalker (15) – Reveal the mystery watcher
One Armed Bandit (10) – Hammer the point home
Pay Your Respects (5) – A moment of remembrance
Perfect Freeflow 2.0 (5) – Perform a perfect combo including all of Batman’s combat moves (any play mode)
Perfect Knight – Day 2 (75) – Complete Main Story, Side Missions, Upgrades, Collectables, New Game Plus, and Riddler’s Revenge (as Batman)
Puzzler (30) – Rescue the third hostage from Riddler
Ring Ring (5) – Answer a ringing phone
Sand Storm (25) – We are legion
Savior (10) – Save the medical volunteers
Serial Killer (25) – Track down the serial killer
Silver Revenge (20) – Obtain 48 medals on the original Arkham City ranked maps (as Batman)
Stop the Clock (15) – Time is running out
Story Teller (10) – Have 12 murderous dates with Calendar Man
Twice Nightly (75) – Complete New Game Plus
Wrecking Ball (25) – Stop the unstoppable