Pretty much any episode that has the girls learning a lesson is also teaching a lesson to any of the parents watching. Or "adults," I should say -- I don't even have kids and I feel like a better person for having watched!
I feel like most cartoon parents are either completely hapless morons (Papa Pig in Peppa Pig) or 100% perfect all the time robots (I love you Mr. and Mrs. Tiger but you're paragons, hard to relate to as parents). Bandit and Chili are incredible parents who also make mistakes and have real emotions and reactions to things. They absolutely make me want to be a better parent in a way that is actually achievable.
We had a good time with it. Not sure if you watched it all, I'm looking forward the next season to see how the plot unravels.
But I'll definitely check Bluey :)
That being said, I wish there was a genre tagged as "engaging for adults, fun for kids": there are a bunch of movies and shows along these lines, but they aren't tagged in any other way.
Another genre that exists but I can't find is "boring for kids but child-friendly", basically any tv show that says stuff they can't properly follow, doesn't have action scenes, but has a convoluted plot for adults. On the top of my mind I can think of Shrinking (my kids still don't understand cursing in english, only italian, so this is great), but I remember there was an even better one that I can't think of right now.
Rocky & Bullwinkle was here. Loaded with adult-friendly puns and hommages.