I've watched (bolding the ones I really like nowadays) these. I'll just throw everything that I can remember that I've watched at you, to see if there's anything that strikes your fancy.

Azumanga Daioh (my favorite anime, personally)
DBZ
Dragonball
Digimon (this was my life when I was in elementary school)
Pokemon
Tenchi Muyo (dude, I was obsessed with this when I was younger)
Rurouni Kenshin (hahahahaha, another one I liked when I was like 11)
Detective Conan (oooold)
Card Captor Sakura (I loved this one so hard when I was pretty young, I had to have been about 8 or 9)
Sailor Moon (watching this again!)
Lucky Star
Ichigo Mashimaru
Ouran High School Host Club (aaalmost right up there with Azumanga)
Hetalia Axis Power (super recommend this one)
5 Centimeters Per Second (hi-5 jussy!)
Princess Mononoke (I did not like it)
Spirited Away

I'm kind of embarassed, I've watched waaaaay more anime than I thought, definitely when I was younger for certain. I can say that I never watched Inuyasha frequently, though. Even my 11 year old self was like "hahahah wtf" at that. But I was all over DBZ since I was only a little one.

Sailor Moon was my first anime. I remember crying on the way to get an operation on my ear when I was 5 or 6 because I was going to miss my daily dose of Sailor Moon goodness. xD