Chibi Maruko-chan
If you love a slice of life anime that is rather simple and does not need thinking about pretty much anything, do me a favor and give it a try.
Accel World: Acchel World
It is all about being a parody of their own respective anime, and being kind of an exaggerated version of it.
Oreimo Animated Commentary
Have you ever imagined an anime character commentaring their own story? Yup, that is the whole premise.
Chibi Kero: Secret of the Kero Ball!?
It is mostly targeted for children or a juvenile adult like me, but it is seriously funny when you are already hooked into it.
Petit Eva: Evangelion@School
If you remember, the main characters of Evangelion supposedly went to school. Supposedly, because it was quite rare to see them actually doing it. And in the series, they are actually going to school and living a peaceful life.
Fullmetal Alchemist: Brotherhood: 4-Koma Theater
The best part is actually that almost everyone can enjoy this show because they all have watched this series. What? You have not? Well I do not understand why but this is your own loss. And I will not bother to ask you to go watch the series.