Thanks for your input, everyone.
I've always been impressed by ATC, especially when the Heathrow "floodgates" open at 06:00 (always sounds frantically busy in a calm sort of way) and I thank you for the reassurances.
I'm not sure a telly programme would help me, not owning such a device, but a "fly on the wall" documentary about ATC would probably make rivetting viewing for those that do.