I've lately been looking for a way to listen to Internet radio away from my computer. This looks like a good, albeit somewhat expensive, answer: the WiFi Radio from Acoustic Energy (about S$600, that's $415ish).
The WiFi Radio connects to your router and stores more than 5,000 radio stations by country, updated each time the machine is switched on, which you can scroll though via the somewhat pokey LCD display on the top. There's a buffering delay but once the station kicks in the sound is great. You can also use it to stream music from your computer.
It's a classy solution to the problem. But I think there might be a simpler one, if you've only got a handful of stations you want to listen to, and just want a small device you can carry around the house with you. Perhaps I could even use an old PDA with WiFi built in? Where's that Tungsten T3 I saw lying around?