British radio divides into the BBC, the commercial networks, and a community sector that is small but disproportionately interesting.
A practical warning about the BBC: most BBC services are geo-restricted or have moved to streaming formats that older directory listings do not carry, so BBC stream URLs collected from public sources go stale faster than almost anything else. Where a BBC listing here fails verification, that is usually why.
The commercial sector consolidated heavily in the 2010s, with most formerly local stations absorbed into national brands carrying networked programming. As in the United States, the genuinely local output has migrated to the community sector, which holds small-scale licences and is largely volunteer-run. Celtic, folk, specialist dance and community-language stations are where British radio is still distinctive.
Britain also has a specific radio lineage worth knowing about when browsing its dance stations: the pirate stations that broadcast illegally from London tower blocks through the eighties and nineties effectively created jungle, UK garage and grime. Stations here programming that combination of genres are working in a tradition, not picking randomly.