Though not on the actual day itself, Asian Civilisation Museum will be holding an event - ACM After Dark: Mystic Asia on 26th October 2013. Nothing too scary and enriching at the same time, being in a museum and all. And I quote, "enjoy a movie screening, hear haunting tales in the galleries, and make your own spooky souvenir to take home". Sounds like my kinda thing.
Asian Civilisation Museum