The O2 Active portal will host around 300 pieces of content, including highlights from the three shows, plus branded wallpapers and ringtones.
The deal is the first one completed by Peter Mercier, the newly appointed head of mobile at the BBC's commercial arm.
Mercier hopes the BBC will commission made-for-mobile content once it has a large enough audience on the platform.
The value of the deal, and the exact costing model for O2 customers, has yet to be announced.
BBC Worldwide already has similar deals with rival networks Orange and 3 and is currently considering ad-funded options.
O2's portal also features news, games, chat tools and music downloads, charged by the cost of the data used.