There are hundreds of thousands of people eager to tell you all about utterly awful anime such as Evangelion, Naruto, Inu Yasha, and Dragonball Z. Please ignore these people. They are children, or at least mental children. There are good shows you are missing out on.
Let's assume the following things: You must be unexcited by giant robots, spaceships, and wizards. You must be utterly bored by watching people fight each other for 22 minutes at a time. You must be willing to enjoy Japanese animation, provided it is really good animation, and you must be willing to not make derogatory comments about the artwork for at least the first 2 episodes. You must be willing to watch a full television series (i.e., 7 hours of show or more) rather than a 2-hour movie, although it's never necessary to marathon the whole thing.
Okay, my opinions having been explained, here is the definitive list of The Top 10 Best Anime Ever.
- Honey and Clover
- Kamichu
- Nodame Cantabile
- The Melancholy of Haruhi Suzumiya
- Haibane Renmei
- Rozen Maiden
...oops, there are only 6 good anime. That's okay, though, seeing as these are really good.
Addendum: wotaku shows
I also like to watch anime with not a lot of plot that stands alone, but a lot of interesting female characters. Maybe you could call this the other half of my list, although I wouldn't be so quick to recommend these series. Here you are:
- Kannagi
- Higurashi no Naku Koro ni
- Manabi Straight
- Lucky Star