These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Family-Unfriendly Aesop: No episode ended this way but what Sam told Harry when he found a jump rope—which is the classic "Finders Keepers"—was a very conspicuous example. He decided to follow her advice before actually learning the real lesson in the episode.
Fridge Logic: How can some adults actually believe Harry went into his bucket?
Made even more in "But I Like Mud!". At the end, Harry, after he is turned down by the dinos because they cannot stand his stench of mud, meets a mud monster. However, the monster praises how his teeth will fall out because he won't brush them, and that many other bad things will happen to him. He runs away, and the monster takes off its head—revealing it's Nana! So how the H-E-double hockey sticks did she find the portal to Dino World in the bucket?
I always thought it's a family secret (though subverted because his friend, Charlie/Charley(?) knows about it). Nana was apparently one of the earlier visitors of DinoWorld and she may have once owned the bucket before she could give it to Harry (or possibly, before she could give it to Harry's elder sister who may have just grown out of playing with the dinos). It also helps that Nana owns another dinosaur that she keeps in her knitting basket.
It's all there in the manual (DVD packaging / show publicity) that the bucket was given to Harry by Nana. Not sure, but this may have also been in the original books.
Kawaisa/Moe: This show has managed to make everyone and everything look cute. Even the dinosaurs.