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.
Taury: You don't know what an ace reporter is, do you, Trike?
In "Achoo", where Harry was sick and the dinosaurs have caught his cold though manifesting itself in bizarre ways in each dinosaur, the best one goes to Taury: When he started to see spots appearing on his body, he made quite a narmtasticscream due to his incredibly large, deep voice. It doesn't help that he's supposed to be the toughest and fiercest of the dinosaurs.
Kawaisa/Moe: This show has managed to make everyone and everything look cute. Even the dinosaurs.
Needs More Love: Yeah, yeah, yeah it's a little kid show. But to this troper it's actually pretty nice for something like that.