Tom:
I agree that Ozzie and Harriet was one of the most formulaic sitcoms ever, but for decades, it held the honor of being the longest-running sitcom ever on TV - an honor it has since yielded to The Simpsons.
It was also a fairly subversive show, if you look beyond the formula surface. When Rick and David became teenagers, Ozzie realized he had something new to sell - sex. The boys were very consciously positioned as teen heartthrobs. Rick's musical talent for rock 'n roll was nurtured and showcased, not quashed - at a time when Elvis was being censored on TV and denounced from the pulpit. It looks very innocuous in today's re-runs, but it was controversial then.
The boys' fervent interest in women (both of them were canoodling with starlets on the lot, as was Ozzie) was the stuff of many a plot, and Ozzie took care to provide worthy consorts for his two Hollywood princes, like Tuesday Weld just before she hit the big time. If you will watch the shows, you'll see that Ozzie's idea of "worthy" young women was ladies just as sexy as his sons.
Offscreen, there were some unusual things going on, too. Actor Lyle Talbot, who played the Nelsons' neighbor Joe, liked to pick up a little extra money appearing in the movies of an independent film-maker - Ed Wood. Talbot starred prominently in Wood's transvestite movie, Glen or Glenda?, at the SAME TIME he was on TV in Ozzie and Harriet. And yes, Ozzie knew.
In 1961, Ozzie publicly defended son David over David's choice of bride, June Blair. June was, to put it mildly, well-known to the public - she had been Playboy's Miss January in 1957 (I hasten to add that Playboy was topless-only in those days; the full-frontal era hadn't yet descended on America, mainly because printing pictures like that would get you thrown into prison back then, even if you were Hugh Hefner).
Not only did Ozzie defend David, he put June into the show, even though about the best you could say for her acting skills was that she was better at it than Rick's choice of bride was.
Harriet sailed pretty graciously through everything, never veering from her "perfect mom" image, though she had a secret - she was a closet chain-smoker, a habit photographers were not allowed to capture on film, ever (later, First Lady Pat Nixon and actress Mary Tyler Moore had the same rule for photographers).
Ozzie and Harriet managed to survive with all the changes that came their way - the boys divorced their wives, and of course, Rick met a tragic end. Ozzie died in '75 of cancer, but Harriet kept going for almost another 20 years, long enough to see a third generation of Nelsons make it in the music biz - Rick's twin sons Matthew and Gunnar, with a band they called Nelson.
I keep hoping someone will do a really good book about the show - there's a lot of story there.