Lark Rise to Candleford will be one of the programmes initially available.
Video-on-demand service Seesaw has begun a beta trial with a view to launching fully in March 2010.
The service is based on technology developed for Project Kangaroo, a BBC-led project that was blocked by the Competition Commission in 2009.
Seesaw has signed a content deal with BBC Worldwide which includes on-demand access to classic Doctor Who episodes.
It is also in negotiation with Channel 4 and Five and American broadcasters for other shows.
Ultimately the site will offer both free and pay-per-view services.
Seesaw is owned by broadcast technology company Arqiva which purchased the technology and assets behind Kangaroo in 2009.
After the project was blocked, the BBC began work on an internet TV service known as Project Canvas.
The service, which gained provisional approval from the BBC Trust in December 2009, is a collaboration between BBC, ITV, BT, Five, Channel 4 and TalkTalk.
It would enable viewers to watch, pause and rewind live broadcasts as well as accessing catch-up services.