The other early LPs I remember my brother and I listening to were two Burl Ives LPs, and a loud flamenco record: Flamenco Candido, by The Curro Amaya Dancers with Domingo Albarado, vocal, and Juan Jiminez, guitar. The record was first published in 1959, but ours was a later reissue on the Pye Golden Guinea label.
Here is another Amaya, Carmen Amaya performing Buleria from a 1963 film, Los Tarantos. I think Curro Amaya was Carmen Amaya’s nephew, and Buleria is also included on his LP. More about the Amaya family on Omayra Amaya’s website.
And here is a granaína taken from a Curro Amaya record: