Achievements:
I'm Batman
Objective: Become the Bat
Acid Bath
Objective: Save the damsel, but is she in distress?
Savior
Objective: Save the medical volunteers
Chimney Sweep
Objective: There is only one way in
One-Armed Bandit
Objective: Hammer the point home
Arkham City Sirens
Objective: Drop in on an old friend
Communication Breakdown
Objective: Clear the airwaves
Gladiator
Objective: Last man standing
Wrecking Ball
Objective: Stop the unstoppable
Lost And Found
Objective: Uncover the secret of Arkham City
Sandstorm
Objective: We are legion
IQ Test
Objective: Solve the first riddle
Hide And Seek
Objective: A deadly game of hide and seek
Ghost Train
Objective: Fight for survival
Pick Pocket
Objective: Steal the score of a lifetime
Freefall
Objective: Don't look down
Stop the Clock
Objective: Time is running out
Exit Stage Right
Objective: All the world is a stage
Conundrum
Objective: Rescue the first hostage from Riddler
Broken Toys
Objective: Destroy it all
Bargaining Chip
Objective: Reunite the separated couple
Dial Z For Murder
Objective: Stop the phone booth killer
Mastermind
Objective: Rescue the second hostage from Riddler
Contract Terminated
Objective: Stop the contract operative
AR Knight
Objective: Complete all augmented reality training exercises
Mystery Stalker
Objective: Reveal the mystery watcher
Puzzler
Objective: Rescue the third hostage from Riddler
Family Jewels
Objective: Retrieve your stolen goods
Fully Loaded
Objective: Collect all of Batman's gadgets and upgrades
Gadget Attack
Objective: Use 5 different Quickfire gadgets in one fight (any play mode)
Serial Killer
Objective: Track down the serial killer
Intellectual
Objective: Rescue the fourth hostage from Riddler
Aggravated Assault
Objective: Stop all assaults in Arkham City
Flawless Freeflow Fighter 2.0
Objective: Complete one combat challenge without taking damage (any character)
Brainteaser
Objective: Rescue the fifth hostage from Riddler
Genius
Objective: Rescue all the hostages from Riddler
Pay Your Respects
Objective: A moment of remembrance
Sphinx' Riddle
Objective: Complete all 40 of the Catwoman Riddler grid items
Bronze Revenge
Objective: Obtain 24 medals on the original Arkham City ranked maps (as Batman)
Twice Nightly
Objective: Complete New Game Plus
Silver Revenge
Objective: Obtain 48 medals on the original Arkham City ranked maps (as Batman)
Storyteller
Objective: Have 12 murderous dates with Calendar Man
Campaign Bronze
Objective: Obtain 36 medals on the original Arkham City campaigns (as Batman)
Gold Revenge
Objective: Obtain all 72 medals on the original Arkham City ranked maps (as Batman)
Perfect Freeflow 2.0
Objective: Perform a perfect combo including all of Batman's combat moves (any play mode)
Campaign Silver
Objective: Obtain 72 medals on the original Arkham City campaigns (as Batman)
Campaign Gold
Objective: Obtain all 108 medals on the original Arkham City campaigns (as Batman)
Feline Revenge
Objective: Obtain all 72 medals on the original Arkham City ranked maps (as Catwoman)
Perfect Knight - Day 2
Objective: Complete every challenge in Arkham City - Main Story, Side Missions, Upgrades, Collectables, New Game Plus and Riddlers Revenge (as Batman)
Campaign Nightwing
Objective: Obtain 114 medals on the original Arkham City and Nightwing Bundle Pack campaigns (as Nightwing)
Nightwing Revenge
Objective: Obtain 78 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)
Robin Revenge
Objective: Obtain 78 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)
Campaign Kitty
Objective: Obtain all 108 medals on the original Arkham City campaigns (as Catwoman)
Campaign Wonder
Objective: Obtain 114 medals on the original Arkham City and Robin Bundle Pack campaigns (as Robin)