I'll add stations to the list as I find them, or rather when I get around to doing it. The bold text is how the station describes itself, and the logo will take you to a live stream where available.

Station
The best new music http://www.bbc.co.uk/radio1
Music & Entertainment http://www.bbc.co.uk/radio2
Classical, Jazz, World, Arts, Drama http://www.bbc.co.uk/radio3
Intelligent speech http://www.bbc.co.uk/radio4