My experience of the dvd shipment issue was essentially as Strong Eagle noted in his comment. While I didn't possess a massive collection, I separated those which I considered to be potentially dodgy from those I did not. The dodgy ones I carried in hand luggage on the flight over, and the rest I packed for the
Movers. Having said all that my shipment wasn't opened, so nothing went by the censors, and also most of what I thought was dodgy ended up being available here anyway (I was being guided by the
Movers who may have been overstating how zealous the authorities are here).
I'm not aware of any list of banned films that exists, but you can check film by film on the Media Development Authority website to see if the film has been banned, or subject to editing, or let through "clean" -
http://www.mda.gov.sg/wms.www/resources_film.aspx
I think the basic rule of thumb is that anything which has nudity, explicit sex, is deemed to promote gay lifestyles or has / promotes drug use would be subject to editing by the censors, or banned. By way of example you won't be seeing Shortbus or Trainspotting available at HMV in Singapore any time soon!!