My anime experience started with Pokemon. I played Pokemon Red/Blue so much as a kid, you wouldn't believe it. I caught all the new episodes (and the re-runs) of the Pokemon on Kids WB. I had Pokemon toys, Pokemon cards, Pokemon everything.
A story like that usually ends with ennui. Yet, here's the thing, I still like Pokemon. I've beaten all the main series games and most of the spin-offs, such as Pokemon Mystery Dungeon or the Pokemon TCG game. Additionally, I read all the Pokemon Adventures Manga. I watched over 700 episodes of the anime (I stopped somewhere in Black/White). Even now, I still watch competitive Pokemon battles, and I regularly listen to the OST of the games.
Pokemon wasn't the only anime I liked as a kid. I also enjoyed watching Yu-Gi-Oh and DBZ. However, outside of that I didn't really watch anime until 2012, which was when I stumbled across Lucky Star. I enjoyed the comedy, themes of friendship, and winsome art style. I immediately looked for more moe anime.
So, that's my brief anime history. I like watching moe comedies with likeable characters. In general, I'm not a fan of anime from other genres (unless they're rock-solid like Samurai Champloo or Death Note).