Dragon Ball Z and YuYu Hakusho. I even remembered when the TV station who aired it here renamed Yuyu Hakusho to Ghost Fighter lol. I think most Filipinos would still name it that way.
Wooh, I still remember the days when we had great Filipino dubbers.
Pokemon, after the time and when I'm getting 12, I relaized that the Anime actually sucks. ~~~ Digimon is purely epic and I love it. I just hate the 5th season. :E ~~~ Monster Rancher (somebody knows this?) was simply great and cool to watch. ~~~ Cardcaptor Sakura, some people laugh me out when I told that I watch this, but I really liked it.
Seriously, screw that Inuyasha, Yugioh! (well the first or 2nd season wasn't bad so) and DBZ crap. =w=
Trigun and Rurouni Kenshin... I loved both, watching Rurouni Kenshin everyday on Toonami, then Trigun every night on Adult Swim. FLCL and Cowboy Bebop was also great. I don't think Samurai Champloo was around yet in Summer 2003. I watched DBZ and Pokemon before these of course, but they weren't the shows that made me love the anime genre.
Cowboy Bebop, not exactly child friendly, but I recall liking it probably because of that. It didn't last long though, after that, nothing else really.