Peter Brough was probably best on radio as, by all accounts, he was a lousy ventriloquist. However his creation of Archie Andrews amounted to comic genius, so 'Educating Archie' wasn't really out of place on the Light Programme.
I can only remember brief interludes of tap dancing on the radio, embedded into general song-and-dance routines, so they probably weren't too anachronistic.
However Radio 4 has carried several programmes, over the past year or two, dedicated to the works of photographers and artists, whereas BBC4 has featured plenty of programmes about music. There seems to be something the wrong way round there!