Okay, fine, I guess there aren't a lot of fellow fans around here. It's Neon Genesis Evangelion - the anime that redefined anime, and understandably so. Fascinating plotting, perfect pacing, great characters, provocative themes and unforgettable imagery - it has everything I could ever want from an anime series, and is quite likely the reason I'm still an anime fan today. Be warned, though, that by the end it gets extremely dark, introspective and mind-screwy, so I hope you like that sort of thing. (If you like Chrono Cross and Xenogears, then you probably will.)
Rurouni Kenshin is also gooood stuff, although I vastly prefer the manga to the anime (the TV anime, at least - the OVAs are fantastic) and there's word of a new anime coming down the line. But really, aside from broadly recommending "the classics" (Akira, Ghost in the Shell, Ranma 1/2, Evangelion, Kenshin, Cowboy Bebop, Fullmetal Alchemist, etc.) it's kind of hard to make specific suggestions without knowing what exactly you look for in anime/film/fiction.