When I was about nine I saw Neon Genesis Evangelion on one of our local TV stations with subtitles. I was sick at the time and was going through delirium due to a pretty high temperature. That was the weirdest half an hour of my life.
If you count movies, Spirited Away!
It was dubbed, but I'd watch it over and over and over again.
If we're talking tv series, then that'd be Inuyasha. It'd play on Cartoon Network's channel, and I watched it religiously. Kagome all the way, Kikyo sucks >:T
Never finished the series, or if I did I don't remember the ending. It's on my list to rewatch. (:
Code Geass. I can't remember ever watching another anime like it after so I'm amazed it even got me into Anime, but...I loved it at the time. The 2nd was FMA. That will still always be my favorite. FMA: Brotherhood.
It was such a long time ago, and I remember when late on school nights and I was tucked in bed, we used to leave it on adult swim, and they'd end up playing that show Inuyasha...and I just loved it ever since.
I'm pretty sure my first anime was Sailor Moon. I remember being obsessed with it and getting into a screaming match with my friend when I was like five years old or something over who was the more dedicated fan.
Mine was (surprise, it's related to my profile picture) One Piece. Watched it when I was really young. (Saw the 4kids version first.) Then I later found the REAL not 4kids garbage and I've watched it and kept up with it ever since.