Shoot down Neyla to help out Sly

Pickpocket 3 keys from Carmelita in Canada

Collect 1,500 coins

Defeat Contessa #1

Obtain 36 medals on the original Arkham City campaigns (as Batman)

A moment of remembrance

Obtain all 72 medals on the original Arkham City ranked maps (as Batman)

Purchase the Alarm Clock from ThiefNet

Hack the train

Purchase the Snooze Bomb from ThiefNet

Dance with Carmelita

Purchase the Fist of Flames from ThiefNet