Anime was like a lot of things in my life that I show much passion for now: something I didn't realise what it was until I saw and could appreciate the true beauty of it all. This can be said for some of my favorite game franchises as well.
I technically started watching anime on Toonami, when the show would run episodes of Sailor Moon, Dragon Ball Z, Gundam Wing, and Tenchi Muyo. I fell in love with these shows, and how the "cartoons" had an actual plot line, not just some mindless running around for 30 minutes to make you drool, and then on to the next one. I didn't know what I was watching, until I met my friend Myste (AppliedAlgebra), who then introduced me to it not being just a simple cartoon, but an art that is highly appreciated in Japan.
From there, my passion for it grew, and I found myself collecting as the funds came to me. By nature, I would (and will) always spend my first bit of extra cash on games, because that is my obsession. However, I don't hesitate to buy an anime or manga if I am interested in it. I've read Shonen Jump faithfully for two years, bought anime and manga in any places I can find, and much prefer waiting for various box sets than the actual individual DVDs for the sake of my wallet.
You'll find that anime I love I'm very attached to the characters, and for those I don't, I still find something to appreciate about them.