The BBC has released an update for their Internet TV iPlayer iOS application that will support the new AirPlay features in Apple's iPhone and iPad. The update will allow you to wirelessly stream content from the BBC iPlayer application directly to your TV through Apple TV.
BBC's iPlayer allows users to watch online video and Internet TV via their iPad and iPhone. Some content is available for free using the BBC iPlayer and users can pay a monthly subscription to have acces to all the TV shows available.