I'm British and live in the UK so BBC is a big part of my radio listening anyway, but I agree, the quality both in terms of content and recording quality is largely miles ahead of most podcasts.
Excluding things like political things which wouldn't land the same to international listeners, my favourites are:
The Kitchen Cabinet
You're Dead To Me
Crowdscience
Inside Science
Just a Minute
The Unbelievable Truth
Nature Table
Take Four Books
Witness History
Last Word
Gardener's Question Time
A Good Read (I wrote a blog post a while ago about scraping the books using LLMs to extract from the text of the descriptions: https://rpep.dev/posts/a-good-read-extracting-books-with-llm...)