When I was in Iserlohn, in Westphalia, I couldn't get Radio Luxembourg, but I often listened to a British station that served British servicemen stationed nearby, and they played the BBC playlist. At night, I could sometimes get East German stations.
By the way, I prefer Petula Clark over the Beach Boys. My favorite songs of hers are Song of the Mermaid (1952), The Little Blue Man (1958) and Tout Au Long du Calendrier (through the whole calendar, aka Calendar Girl; 1961).
We got a never ending repeat of "Downtown" and "I know a place". It wasn't until recently that I read Clark's bio and realized how embedded she is in euro-music, not just British music.
To me, the Beach Boys were Americana and the antidote to the British invasion groups.