I've only watched the english dub and haven't read the manga, so this review is solely focused on the aspects of the american adaptation of the show and not how it relates to other source material.
This show is an abstracted comedy parody of mainly:
1. Other anime series produced anythime up to 3 decades before this show.
2. Dealing with modern everyday for kids and young adults life.
3. Pop culture of the 2000s and prior 2 decades.
Bobobo absolutely never takes its self seriously. It goes for lots of cheap fast jokes, slapstick comedy, a type of schizophrenic "thats so random humor" that after viewing more than 10 episodes, will show some relatively constant theming. The characters inhabit a fantastical adventure world where everything seems possible and sentient being's imaginations can bend reality to their will. Since this fantastical world is established from the start of the show, a large part of the comedy comes from very mundane real world experiences, things and places showing up during fantastical events. How well the writing intertwines the normal, the ridiculous, and references to other media outputs the quality of the humor.
If your thinking of giving this show a try I suggest watching up to the 21st episode; if you enjoyed it up to this point you'll like the rest, if you didn't, the flow or the type of episode progression is not going to change much for the next 55 episodes.
