If you're legitly looking for children's shows, try any popular cartoon shows:
Fairly Oddparents
SpongeBob
The Regular Show
Amazing World of Gumball
Avatar: The Last Airbender
Hell, even MLP if you are brave enough.
All of the above are pretty good quality, relatively modern cartoon shows. A few of them I've only seen a few episodes of, but out of that whole list the few episodes I have seen were all pretty good. Gumball made me laugh out loud a few times.
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Adventure Time is pretty funny. MLP, not on your life.