The BBC has finally got around to porting iPlayer Radio to Android (ICS and up) and is better than the iOS version, apparently.
http://www.bbc.co.uk/blogs/internet/posts/BBC-iPlayer-Radio-app-on-Android-devices
https://play.google.com/store/apps/details?id=uk.co.bbc.android.iplayerradio
http://www.bbc.co.uk/blogs/internet/posts/BBC-iPlayer-Radio-app-on-Android-devices
https://play.google.com/store/apps/details?id=uk.co.bbc.android.iplayerradio