My first anime was technically Pokemon, with Yu-Gi-Oh! Coming along quickly after that. What can I say, I was a sucker for Pikachu's adorable little face (even though he's a terrible Pokemon in-game imo). The first anime where I watched all the seasons, however, was Yu Yu Hakusho. I just really enjoyed the main characters, and they've got a special place in my heart.
I watched Yugioh with my dad a lot as a kid. I liked spending the time with him to watch it- I even have a stash of his old Yugioh cards in one of my endtables (harpie lady for some odd reason was, and still is, my favorite)! But the first anime I watched on my own was either Moonphase or Peach Girl. I had no idea what anime was (it was like 4th grade...?) but I liked it, lol.
My first real Japanese Anime i have ever watched was "Captain Tsubasa". I dont know if you know it, it was very popular in Europe in late 80´s and the 90´s, its about soccer, main characters are called Oliver and Benji. This was the first one to me back in 1994 when i was 4. After this one it would be Dragon Ball (the one before Dragon Ball Z when Goku is a child) back 1995 when i was 5.
Fuck the time goes by so fast!
probably pokemon, but the first that i recall getting into properly was dragon ball z. my cousin used to watch it whenever i visited his house and i quickly jumped aboard on the train. i think i forgot about anime for a few years after that, until they started airing naruto on tv, which brought me right back into the swing of things.