Most of the programmes mentioned in previous posts, I heard. Radio Luxembourg was an interesting station. It could be found on long wave - near to the Light Programme (became R2), That was an all French station. 208m. medium wave was a UK only in the evenings. However it also transmitted in Dutch and German at other times of the day.
There were many places in what is often called the 'short wave', many in English. There were news and cultural details from such station as Radio Prague, Radio Peking (old spelling), Radio Moscow and Voice of America. There were many more but usually in their native language.
One most entertaining station,on Sundays, was from Radio Nederland from Hilversum, Holland. It transmitted in Dutch, English and Spanish. It was know as The Happy Station and ran from 1928 until 1995. There is a new version, since 2009, but I have never heard it. Ike all re-runs they are never quite the same. I knew the original presenter and his successor. The only break was during WW2 when, from London the Dutch ran Radio Oranje (Orange), 1946 saw the creation of Radio Nederland Wereldomroep (Dutch Worldwide Radio). The station had three great slogans, the oldest was PCJ - peace, cheer and joy (in English), the original station identification was PCJJ, the transmissions being aimed at the East Indies/Indonesia. The second was 'Smiles Across The Miles' and the third Keep In 'Touch With The Dutch'. both in English' People from all over the world wrote in with god wishes and requests - it became a very 'family' kind of place. There was great sadness when it ceased. I never knew the Spanish slogans, but without doubt they has some.
The station transmitted week days as well and had interesting information.
Many of these overseas radio stations ran quizzes principally about their country. They were not difficult, but no internet in those days, so not easy to cheat.
I won quite a few, usually records or books.
I am sure others here have some interesting comments about their radio listening - there was a great wide wide outside of Auntie BBC.