I’ve never seen a good pilot that didn’t have a storyform or at least give us the first signpost of one (Good Girls comes to mind).
I can’t think of lot of successful fiction shows without storyforms. But, lots of reality TV, Docs, and animation does it. It probably tastes more work in today’s day and age to pull off a fictional propagandize TV show. I suppose any show where they “jump the shark” (Happy Days ref) would be a good place to start on searching for them. I believe they are usually a product of the showrunner “moving on” or getting overloaded (Ryan Murphy shows come to mind…but, people would watch Glee for the Music when it struggled toward the end)
Assuming you just mean straight fiction with no other hook (music, nostalgia, info, voyeurism), I guess it depends on the era and whether it was planned or done as an after thought. It also depends on how procedural vs serialized you need to go.
A lot of animation like Transformers/Headmasters don’t have complete stories except for their movies. And, even then, whether the movies have one or not often didn’t mean success at the box office as Transformers is only uplifted in cult post box office bomb.
I’ve noticed most procedural network TV does the “case of the week” and uses the premier and finale episodes as a way to tie in the season StoryForm. Grey’s Anatomy does this all the time after Season 4. It’s almost like they divide it between two writer teams. One for the big start/end episodes and the other for the typical procedurals.
My favorite shows work in a loop. Below are a few off the top of my head that use the StoryForm and some loop after a planned ending. My favorite shows have a planned ending from the beginning with a set number of seasons.
Here are some non-traditional uses with StoryForms:
Battlestar Galactica - planned 4 seasons and movies used as season bridges. (Reimagined Adaptation)
Neon Genesis Evangelion - planned 1 season (freak of the week, fan service and serialized). Additional movies used to retell from different perspectives. (Rare Anime adapted to manga post animation — most anime is adapted from manga).
Have you seen JJ Abram’s Felicity from way back when? They did something really intriguing when they had to end early only to discover they had 5 more episodes. So, they made it into an interesting “what if” loop ending.
Firefly is an interesting one where they had to end it with a movie after the cult following revived it post cancellation.
Remember Quantum Leap where the last episode just tries to make sense of all the “jump of the weeks”
The Affair…still need to see the rest of this. But, you get multiple storyforms in parallel.