A lot. There is:

BBC 1, BBC 2, BBC 3, BBC 4, BBC News, BBC Parliament, CBBC, Cbeebies, BBC Iplayer, BBC England, BBC Scotland, BBC Wales, BBC Northern Ireland, and BBC America

There is BBC radio channels too:

Radio 1, 1Xtra, Radio 2, Radio 3, Radio 4, Radio 5 live,5 live sports extra, 6 music, radio 7, Asian Network

Yes.

You can access archived programs from BBC Radio 4 online from the BBC United Kingdom website under the Radio 4 section. There are over 1200 past broadcasts available.

BBC Radio 4 Longwave usually covers the greater parts of France, Germany, and Holland. Go to 198kHz.

93.30 MHz