The first anime I can remember ever watching were Sailor Moon and Lupin III tho I never actually realized they were anime until much later, seeing as the medium Freedan junior did not know the difference between anime and cartoons way back when. But after a traumatic experience involving some parental bashing, I refused to watch any of it until I came out of my shell with this:
I was back in Italy for the summer after my first year in Saudi. The year didn't go so well for me. My first time in a new country, still being bullied by everyone, poor grades, and what looked like a hopeless endeavor to get fit by joining the swim team. That's when I chanced upon what I think is to this day one of the most epic fight scenes in anime history. Goku vs Frieza. I continued watching Dragonball Z after that, and it served to me as an inspiration to grow, to become stronger. My second year at school in Saudi (mind you, I didn't go to a Saudi school but a british international school) was much better. By the end, I was the top swimmer in the team save for one other, I gained respect from those who bullied me before by showing I am worth something, and my grades improved tenfold. Dragonball Z wasn't simply the first anime I watched (whilst aware of it being an anime at least). It was my childhood.