YYH = luffWhile I absolutely and completely adore Ouran, I don't know if I'd recommend it to a newbie, mostly because it makes fun of a lot of anime stereotypes so someone new to anime probably wouldn't get as much out of it.
My first anime was DBZ back on Toonami but if you're not into action, that's not going to be up your alley.
I'll jump on the Cowboy Bebop bandwagon, too. It's hard to go wrong with that one. Death Note is another good choice. Ghibli movies are fantastic (Spirited Away being my personal favorite) and easily accessible. I'd also recommend Fruits Basket if you're willing to try shojo.
My first anime was DBZ back on Toonami but if you're not into action, that's not going to be up your alley.
I'll jump on the Cowboy Bebop bandwagon, too. It's hard to go wrong with that one. Death Note is another good choice. Ghibli movies are fantastic (Spirited Away being my personal favorite) and easily accessible. I'd also recommend Fruits Basket if you're willing to try shojo.