I’m not sure exactly what kind of digital voodoo LiveFeedVideoImaging applies to their historical footage, but the clarity of the following clips is pretty astounding.  In clip one, from ‘57, Billie Holiday performs Fine and Mellow from the Seven Lively Arts episode, “The Sound of Jazz.”  To compare and contrast the resolution, you can check out the extended YouTube clip here.

 
Even more amazing—in terms of clarity, anyway—is the following brief Beatles clip from ‘63’s Royal Variety Performance: