I don't think the original was filmed in 3-D. My wife and I saw a version of the original
Kiss Me Kate at the Coolidge Corner Theatre in Brookline, Massachusetts about 15 years ago in 3D. It was filmed by polarization separation, not that cheesy red green crap. (Gravity was filmed using polarization separation.) Either reel is a stand alone film, so it can be played on a conventional TV. It was nicely done, with a lot of scenes making a lot more sense in 3-D.
How does 3-D television work? Do you need to wear 3-D glasses.
Yes-see my explanation above. The original was absolutely not filmed in 3D, but later films specifically shot to accommodate 3D were shot that way, and somehow modernized. I suspect that after the Wizard of Oz was digitized, talented people and sophisticated software worked on it (how I don't know) and it took them 16 months to convert it to 3D. The technical aspects are beyond me, but here is an explanation:
LINK: How's the 3D in The Wizard of Oz" 3D?