As in every medium, 98% of it is pure, unfettered crap. But there are diamonds in the rough. If all you know of anime is Dragonball, Bleach, Ranma 1/2 or Cardcaptor Sakura, then you're going to have a too-narrow view of the medium as a whole. However, for those who have yet to like the medium, but have an open mind, movies such as Princess Mononoke (or, really, anything that Studio Ghibli has ever done... beware of Grave of the Fireflies), and Ghost in the Shell; OVAs like Samurai X; and TV series like Vision of Escaflowne, Ghost in the Shell: Stand Alone Complex, and Clannad are well worth your while and may tip you into acceptance, if not into fandom.
Also, if you aren't sobbing like a little girl by the 9th episode of Clannad, then you have no soul.