Dean, I have a load of programs from BBC Radio services, I can point you to a program broadcast Saturday, on the BBC local services in the East of england, called Burney keith's rock'n'roll, where he mainly plays music from the fifties and sixties. However, I suspect a good deal of rock music from this era is going to be American as we did not really have a great many exponents in those days until the mid sixties, of course, with the advent of the Mersey Sound Etc.
Have a look at: http://www.bbc.co.uk/norfolk/programmes/schedules/2015/08/08, /15, /22, /29 and /09/05 but you'll have to get the first one soon as it will disappear by 20:00 UK time tomorrow. also, take a look, over the same period at: http://www.bbc.co.uk/devon/programmes/schedules/2015/mm/dd this clashes with Burney Keith as both programs are on from 18:00-20:00 and, maybe, for modern material, take a look at the program after, called BBC Introducing, not 60's and 50's but some very good modern material there. So far as I am aware, no podcasts available for any of these, I suggest use totalRecorder or some equivalent, then you can skip unwanted items.
