Rescue the fourth hostage from Riddler

Retrieve your stolen goods

Track down the serial killer

Reveal the mystery watcher

Collect enough evidence to locate the gun for hire

Complete all augmented reality training exercises

Jump off the tallest building in Arkham City and glide for 1 minute without touching the ground.

Don't look down

Have 12 murderous dates with Calendar Man

Obtain ''True Survivor'' in any level

Fight for survival

Rescue the second hostage from Riddler

Find someone to play remote Batarang catch with