Currently available only on the iPad for €6.99 a month (or €49.99 for an annual subscription), the app will offer subscribers a choice of BBC programmes such as classic comedies like Fawlty Towers and Only Fools.
The drama series Sherlock, as well as the classic Pride and Prejudice are available, recent episodes of EastEnders, motoring show Top Gear, the Doctor Who archive and the children's show Charlie and Lola are also on offer.
So it is not possible to pick and choose your favourite shows, although the BBC said new programming will be added to the service every week.
Along with themed collections curated from the BBC's extensive archive, including David Attenborough and the story of the Royal Family.
A key feature of the app allows subscribers both to stream and to download shows for offline viewing for when they can't access Wi-Fi connectivity.
The app, available through the Apple App store, will initially be available in Austria, Belgium, France, Germany, Italy, Luxembourg, The Republic of Ireland, The Netherlands, Portugal, Spain and Switzerland.