Install Jellyfin app on a tablet, you just built a curated version of Netflix.
[EDIT] Incidentally, Jellyfin doesn't have an allow-list, either. You have to put kids' content in a separate library. They have block lists based on tags, but not a more-useful allow-list. It's been requested and I've thought about doing it—I've looked at the code, looks pretty easy—but, LOL, I have kids! Which I expect is why all the other kid-havers requesting the feature haven't gotten around to it, either.
[EDIT AGAIN] The reason the separate-library solution kinda sucks is it fragments your content, so if you're browsing based on library you have to think "wait, did I decide this was OK for the kids' library?" and it doesn't de-dupe so if you put content in both (say, with hard links to avoid wasting disk space) they'll show up twice on accounts that can access both libraries, plus it means shelling in to move files around to change what's available, plus it's a huge PITA if you want multiple kids' accounts with different content (tags are easy—older kids gets all the kid tags as allowed, younger kids get a smaller set of kid-tags allowed). I'd also personally really like to be able to not display all my kid-friendly content to them all the time (too much choice, same as adults experience on streaming services) and change it up periodically (this also lets me push better things on them that they might not pick from a list of 100 but might pick from a list of 10) which makes the separate-library especially painful, since it means file-management actions every single time I want to change up the kids' library, rather than just some quick tag-shuffling on the Web UI, which I can just do from my phone in a pinch.
With tags you don't need to shell or sftp in to move things around.
You never have to wonder which library something is in ("wait, did I put Star Wars in the kids' library...?") which, admittedly, matters more for some Jellyfin clients than others (the natural way to browse in the web UI or on Roku is by library—the natural way to browse on my 3rd party tvOS client is by type, which browses across libraries, i.e. movie, TV, et c., so it matters less on there).
Since it's easier to make changes, you can swap material in and out on a whim, from any device with a web browser.
It's annoying that Youtube, a flagship product for a massive multinational company, has worse curation and discovery than even a low tier porn site.
Whoever is in charge of design/recommendations in YouTube is failing at their job
I also think the quality is higher when you have it local, though maybe this is wishful thinking.
I think most stuff is riped from streaming sources anyways, so I'm not sure if its better or just the same.
Not like 4k Bluey is needed anyway though!
I find it odd that most people in this thread are equating "screen time" to "watching videos". My parents were like that, they never understood that mucking around in OSes and writing crappy software is a totally different thing from watching YouTube videos about eggs.
I think you should modify your limits on screen time. Make limits on mindless entertainment kind of screen time, not on productive learning screen time. I'd consider it abusive to force your kid off the computer when they're in the middle of configuring a kernel "for their own good".
Like I said, I know from experience. I feel like I'm a decade behind because my parents thought I was "playing" on the computer instead of learning valuable professional skills which is what I Was doing. I doubt you're actually that kind of person, but to a point they were suspicious of my attempts to learn those things. They thought I was up to no good because I wasn't mindlessly glued to YouTube or whatever they do on their computers.
As she's gotten older these programs are not cutting it, though, and she is asking for Netflix more and more. The problem is that the vast majority of kids shows are just garbage. Basically the equivalent of sitcoms or (worse) dramas about girls being cliquey or mean or whatever. I'm looking for another garden with a wide variety of bigger kid shows that have some positive qualities to them.
Sure, there are great programs on there, but I wish I could pre-select those programs and give her a selection out of them. Netflix lets me set age limits and block programs, but I'd rather spend some time selecting 20-30 shows/movies that allows her to feel free while still giving me some control