I imagine OP is looking for something like the Sangean WFR-28 FM/Internet clock radio. Executive summary: choice of wake-to-FM or wake-to-internet-stream; excellent sound quality for a table radio; versatile alarm function; portable; line-out jack if you want to use it as a source for your audio system.

Unfortunately, in my experience (own two and sent a third one back after trialling it), the streaming-radio-alarm is not entirely reliable - for reasons I've been unable to determine. My older beast (monochrome screen, 2.4 GHz WiFi only) is usually faithful. The newer one (colour screen, 2.4 and 5 GHz WiFi): less so.

If you go down this route I suggest paying the penalty and buying domestically (I believe there are available at Gary Anderson) to have the protection of the Consumer Guarantees Act.

As an alternative, what about buying an inexpensive Android phone and a decent speaker, and running one of the alarm clock apps? At least it'd be relatively secure from snooping.