Think mine was Sen to Chihiro no Kamikakushi (Spirited Away) when I was around in elementary. Watched it on this tiny ass TV with my mom in her room.
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First anime I watched stretches to as far back as I can remember; it was either Ranma 1/2 or Dragonball Z. I used to watch both a lot when I was very, very young. First manga was Girls Bravo. And I'll never forget it; I still to this day love that manga.