Clannad, esp the after story.
Grave of the fireflies
I heard Air tv and Kannon were pretty good.

I was one of those who used to HATE anime. I didn't understand why people were addicted to watching these drawings fight each other. However, after watching clannad and the after story, I began to start liking anime (this was just a week ago though), so I still haven't watched many, and still don't plan on watching naruto or inuyasha or w/e but stories like Clannad, Grave of the fireflies just touch me.