Reach the end of the descent on Mission 6 having killed all of the enemies

Complete Level 2 - Escape From Bricksburg.

Score 21 awesome dance moves in the Construction Site dance mini game.

Defeated the Titan and completed the main story on Ares Island.

Completed all Challenges on Ares Island and fully revealed the map.

Complete Prologue - The Prophecy

Encountered a starfall for the first time.

Complete Vergil's downfall on Son of Sparda difficulty

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

Perform a perfect combo including all of Batman's combat moves (any play mode)

Complete all 40 of the Catwoman Riddler grid items

Rescue all the hostages from Riddler