Defeat 20 enemies with hand-to-hand combat

Obtain 48 medals on the original Arkham City ranked maps (as Batman)

Get the Rocket Launcher.

Find someone to play remote Batarang catch with

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

Rescue all the hostages from Riddler

Complete one combat challenge without taking damage (any character)

Put an end to the Queen's reign.

Begin the search for your sister.

Flatten an unstoppable enemy.

Deliver some medicine to a man in need.

Receive encouragement from a young lady.