I've only seen a couple of episodes, but so far yes I do. It's a little quirky, but there doesn't seem to be anything overly "adult" about it. No swearing or sexual themes, a little violence but less than in an old fashioned Bugs Bunny cartoon. What do people object to about it?
Contains a bit of spoilers but much it will ruin it for you.
I have watch quiet a lot of it. Kids can watch it they wont think much about it just a kid fighting monsters with his sword and mans best friend (the dog - Jake). If you yourself watch it you will understand why the world is the way it is. The world has changed due to an apocalypse years ago and only a two or so people survive.