Ok where do I start? First of all I watched your link to the anime power puff girls...and it was weeeeeeeeeeeeeeeeeeeeeeeeeeeird!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Now I would like to get back on the topic of Rumiko Takahashi. Inuyasha and Ranma are both GREAT! However, if you realy admire Takahashi, you should read/watch more of her work. If you liked Ranma you should try Urusei Yatsura (a.k.a. the return of lum) Its a comedy alot like Ranma, It has alot of slapstick, goofy characters, and just some realy odd stuff. Also try Maison Ikkoku, its another comedy but its alot more mature. It has alot of romance, and drama. Even the comedy is more mature. Its less about the goofy characters and hijinks and more sexual humor. Then try Mermaid Saga, its also more seriouse. Its action/horror about eating the flesh of a mermaid enabaling one to achive imortality. Then "one pound gosspel" is another great seriese by RT this one is sooooooooo WEIRD! Also hilariose!! Its a love story between a nun and a boxer!!! Then I would try "Rumic theater" and "rumic world" which is a collection of short stories she wrote the diffrent genres in these stories realy range (action, comedy, romance, horror, etc). Their is so much varity in all of her works so PLEASE read as much as you can!