Sailor Moon I think was my first, but Detective Conan (Case Closed) and Lupin III were around the same time. Ah, when I was little and didn't know what anime was.^///^
My first was Captain Future even though at that time I had no idea what anime even is. I did not really find out about anime until Sailormoon a few years later.
I was like 10 or 11, and I didn't even understand what Anime was back then.
I love anime which include monsters XP