I think Mama's list came closest to anything I could come up with.... but, and I think like the rest of you, asking about 'show', singular, is not possible. My favorite shows changed over the years and did so quite often.
My very first was "Cartoon Capers"... that may have been local, I'm not sure. It was those first animated cartoons, black and white. I used to get up so early, in anticipation, that I'd watch the test pattern for a half hour before Cartoon Capers came on.
I was big into the western's of the 50's and 60's... all of them, but yes some did stand out for me. Loved Maverick. Cheyenne. And those mentioned by others in this thread.
I remember being fascinated with Mission Impossible. I was not that into I Love Lucy when it first aired.... not sure why, but fell in love with it later. I WAS into "They Honeymooners". What was the one about the ghost, Mr. Topper? Loved that as well.
I pretty much took the 70's, 80's, 90's, and 00's off except for a handful of sitcoms. - JamesJM