I was having a trawl through the UK radio stations on my Clarus Plus internet radio and found a station called Solid Gold 14K. It was playing some good oldies with some US public service announcements.
This evening (Thursday) a UK presenter called Len Davis was doing a good oldies show. Unfortunately at times the audio was low fi, he said that he had a poor internet connection. This did not stop me from enjoying the show.
The station also has other live shows, some are repeated as well so you should hear a live show in the UK in the evenings.
Not entirely sure this station is from the UK but it is worth a listen. It does say at the base of the site that the company is registered in the UK