The first two shows I saw that I knew was anime was Akira and the origional Bubblegum Crisis. BGC was also the first tape I ever copied and passed around to people. At the time what made BGC so special was the music and the hardercore plots. Even though it shows it's age I still love the show.
While I did see shows like Speed Racer and Starblazers and Battle of the Planets long before I did not know they were anime.