I couldn't play BBC in the kitchen this morning, listened to the news in the car, got into the office on another Echo and still no BBC. I have asked for Radio 1, 2, 3, 4, 5Live, 6Music... It plays the little BBC jingle then nothing. Silence.
I have just tried the previous answer to the BBC access question on Alexa. By that I mean I followed the advice to say 'Alexa, use TuneIn to play BBC Radio 2'. It worked. Thank you for the helpful advice.