I don't get why Apple & the BBC haven't got together to make an iPlayer channel/app for Apple TV, but you can find BBC stations within the Radio channel.
Slightly easier to check the catalogue in iTunes, but the following BBC stations are available in iTunes > Internet Radio or Apple TV > Radio
- Adult Contemporary > BBC Radio 2
- Alternative Rock > BBC Radio 6 Music
- Classical > BBC Radio 3
- Comedy > BBC Radio 4
- International /World > BBC Asian Network
- News / Talk Radio > BBC Radio 4 LW
- News / Talk Radio > BBC Radio 5 live
- Sports Radio > BBC Radio 5 live extra
- Top 40 / Pop > BBC Radio 1
- Top 40 / Pop > BBC Radio 1Xtra
Where is the BBC World Service? 😮😕
Having said that your mileage may vary depending upon where you are in the world and the regional settings of your device. I've run across several threads in the past where existing shortcuts to streams go down, so it may be a temporary issue. What stations are you trying to listen to?
FWIW I doubt that Apple TV or iTunes would be using the WMA streams so I don't think that announcement has any bearing in this case.
tt2