I remember renting The Venus Wars from Tower Records out of curiosity when I was 13. That was more than enough to get me hooked on anime from that point forward.
While I'd seen many before it, Bleach was the one that really made me look up what anime was in my early teens and the first one I sought to keep watching after it stopped airing on TV. Then I saw Yoruichi and soon after found hentai. Good times.