And to answer the original poster's question: no, those kinds of stations don't exist anymore.
While independent TV stations (ie, those that aren't affiliated with any national network) do still exist, they are pretty much always part of a duopoly with another station that is a network affiliate. 90% of the time, they serve as a dumping ground for third-rate syndicated court shows and other low-rated product, with perhaps a rebroadcast of local newscasts from their duopoly partner.
There are also a handful of independent stations that have a heavy focus on local news. A good example is WJXT in Jacksonville, FL.
But if you're looking for the sort of independent station that used to run a mix of syndicated comedy reruns, movies, sports, and children's programs, that model died over twenty years ago. It's not surprising that many of us feel nostalgic for such stations -- anyone who grew up during the 70s, 80s, or 90s probably grew up with that sort of station. And that certainly includes me.
The problem is that most of the programming mix that those stations carried is now available in multiple other places. More often than not, the programs are available on multiple diginets and cable networks, streaming services, and DVD or Blu-Ray pre recorded media.
So it's not that nostalgia doesn't pay -- apparently it can pay pretty well judging by the success that Weigel Broadcasting is having with diginets like ME-TV and Heroes & Icons -- but rather that local independent stations didn't turn out to be where that nostalgia is best fulfilled. But I have wondered how it would work if one of the multitude of nostalgia channels (ME-TV, Antenna-TV, etc) tried using some of the formatics of those old independent TV stations in their on-air imaging.
I was Director of Programming and Promotion for KAZT in Phoenix from 2004-2008. I joined the station in 2002 as the promo voice and producer/host of a half-hour weekly automotive magazine show that ran for six seasons on Saturday mornings.
The station launched (a re-launch, actually---it had been KUSK, Prescott) in '02 with what they thought would be the all-star lineup of classic TV---
The Andy Griffith Show, My Three Sons, Hogan's Heroes, Bewitched, The Lucy Show, Happy Days, Perry Mason and (in a move to grab some younger demos)
Sabrina the Teenage Witch and S
aved by the Bell.
It didn't work, the original Director of Programming and Promotion was let go after a year and a half and I was asked to step up, since I'd had radio programming experience.
What I found was that while
everybody loved
The Andy Griffith Show and
a lot of folks watched it
sometimes, not enough people would watch it, or any of the other shows
all at once and consistently. You'd have a night where
Perry Mason would do a big number at 9:00 p.m.---but that usually just meant the other choices were weak that night.
I got ownership to back me on going after fresher syndication. We began by stealing
Frasier from my alma mater, KTVK---because they didn't believe we were serious, they lowballed their renewal offer to Paramount. We had made a serious offer. That went in the 9:00 p.m. hour---back-to-back half-hours---and the first week it was on our air, we beat KTVK in the timeslot.
Getting
Frasier put us in the game for everything else---
Cheers,
Seinfeld,
George Lopez---eventually,
M*A*S*H was the oldest thing on our air.
I left shortly after the GM who hired me died in a car crash and went back to on-air work at ABC15 and then came home to California five years after that, but you're right, Tom---diginets, FAST channels and all have pretty well killed that model for local indies. I see that Nexstar is running KAZT now in a time brokerage deal and it's a CW affiliate.
And KTVK---which had gone indie during the big affiliate shuffle of 1994 with
Oprah, Dr. Phil, Star Trek: The Next Generation, The Simpsons and Frasier is now newscasts, talk shows and court shows.