The Jean Arthur/Boris Karloff was 1951 and it was not video-recorded. They did a cast album.
PETER PAN with Mary Martin was telecast live from their Broadway theatre in 1955. Demand for a re-broadcast was so high, NBC decided to do ANOTHER *live* telecast in 1956. Demand and ratings soared. They decided in 1960 to this time do another broadcast, in color, and reunite the cast (the Broadway show closed by this time).
I do not know for sure that the 1955 and 1956 telecasts were broadcast in color. Most households had black and white television sets - so everyone remembers seeing it thus.
No other PETER PAN recordings of stage productions were done until 1997 when Cathy Rigby took the role on Broadway. There was also a recording done to be broadcast on A&E, which is available on DVD and VHS. A 2000 CD soundtrack to this is also available.
"The Spectacle has, indeed, an emotional attraction of its own, but, of all the parts, it is the least artistic, and connected least with the art of poetry. For the power of Tragedy, we may be sure, is felt even apart from representation and actors. Besides, the production of spectacular effects depends more on the art of the stage machinist than on that of the poet."
--Aristotle