I was about 7, and it was that one with the robot cat with the magic pocket. My mother's friend's niece was watching it, and I was plonked right down next to her to watch it as well.
And no, it did not make me want to watch more anime, mostly because I was 7 and had no idea that it was an anime. Years passed, and then Dragon Ball Z came on to Cartoon Network here in Australia. I think I was about 10 or 11 years old. Again, my first reaction was "what the hell, their eyes are the size of dinner-plates". My brother kept on watching it though and so I did as well. Never really liked it very much.
Then I saw Neon Genesis Evangelion. I liked it. I didn't think it was the greatest TV show on earth, and I also thought that many of the plot elements were made up and crammed it, and that most of the religious symbology was put in there for the sake of looking cool and strange and that it wasn't nearly as "deep" as everyone made it out to be, but it was different, it had a serious atmosphere, it had characters that had serious flaws.
It took me a while to "get into" anime, and even now..... eh, some of it's okay. But most of it's pretty bad.