My Very First 日本动漫 was Case Closed (Meitantei Conan's english dub) when it was on Adult Swim and I kind of woke up in the middle of it-and I did what I usually did and that was I left the TV on C.N./Adult Swim but the only difference was I woke up when it was on..so it was almost a coincidence haha.
Well.. I remember catching glimpses of Pokemon and Yugio and the such.. but the one I first fully watched was Working!! (: Its my first and very favorite~
I don't count Pokemon because everybody knows it... Nether 火影忍者 because I aw like an episode on TV and wasn't interested. That would be Ouran high school host club... That was the one I steeped in to Otaku world!
Fushigi Yuugi!! that was around 2001, when i first saw this.. i was 7 或者 8 years old back then and i was struggling to understand what the 日本动漫 was about.. xDD