The first anime I remember seeing was the episode of Cowboy Bebop where the thing escaped from the fridge and bit everyone on the ship. I thought they all died and the next episode the writers just pretended it never happened.
The first anime I ever saw was Yu Yu Hakusho but it was on when I was too young to get it. Honestly Bleach is what probably got me into anime when I was older.
prob Pokemon and Dragonball dubed in my language...but the real manga and anime universe that pulled me was Bleach first arc... the episode with Chad,Rukia and that ghost boy trapped in a parrot.(good old days)
The Big O was the first anime that I ever saw or, I should say appealed to me. I always thought DBZ looked dumb and all my friends in school ever watched was Yu-Gi-Oh, Pokemon or DBZ. So when I stumbled upon Big O reruns early one morning and it looked so cool I was hooked.