OP here. Let's run through the ones suggested.
Yotsubato: Bzzt. Not anime.
Bleach: Bzzt. Not anime. It's shit
Lucky Star: Yes.
School Days: Sort of. More a romance.
School Rumble: Sort of. More a romance.
Tsukihime: Huh? Never heard of it.
Cromartie High School: Sort of. Sort of gay, more like
To Heart: Huh? I thought this was an erogame.
Hidamari Sketch: x_____________x
Blue Dragon: Never heard of it.
Aira: Yeah, 'slice o life' if you live on Mars. Bzzt.
SZS: Oddly enough, YES.