Well, right now news and sport are crammed into the same station on MW and digital, what we know as Radio 5 Live. What if 5 Live dropped the news programming and stuck to an all sport format? The digital only station Sports Extra would merge with the normal station as there would now be room for all sports coverage on one station. Then, the space left by Sports Extra on digital would be replaced with a rolling news format, like News 24 on TV but instead on radio.
The newly merged Radio 5 Live and Radio 5 Live Sports Extra would be known as 'BBC Radio Sport', and the digital-only station would be known as 'BBC Radio News'. I also have some ideas in mind for the logos. I'll get back to you on them.
Of course, some people (and by 'some' people I mean most people) won't have a digital radio just yet... there would be some problem with the discussion and talk shows BBC Radio 5 Live/BBC Radio News would put on. Maybe allocating another FM, MW or LW frequency, but that might be a problem. Hopefully one day everyone will have a DAB+ radio. Yes, I said DAB+.
Edit: Made the logos roughly in Paintbrush on Mac. They would be better aligned on Window's Paint, but you can't control where the text goes in Paintbrush, so it was a matter of trial and error.
