In the Royal College of Music section, Tristram Cary - he with the beard and specs - was the co-designer of the EMS (Electronic Music Studios) VCS3/SynthiA/Synthi AKS along with David Cockerell & Peter Zinovieff.
In the BBC Section, the large format desk in the background looks to be a custom WEM Audiomaster (sharing the same knobs as the original) - although I have never seen one before, WEM produced a lot of custom stuff in the sixties/seventies. Which would mean the small desk in the foreground (Calrec or Alice, perhaps) would be the broadcast desk - not as crazy as it would seem as all the bands (usually) mimed along to backing tracks, so a dozen input channels would certainly suffice. However, the location appears to be a music store so what a BBC desk is doing there I don't know.