Well, visuals mean a lot to me because, IMHO, what’s the point of watching animation if the animation sucks? That’d be like going to the ugly painting museum, or something. But, at the same time, if the story is engaging, I can be very forgiving of less-than-perfect animation. With that said, here’re a few of my favorites:
Spirited Away: This is the first animé I’ve seen on the big screen and it was wonderful! I love this movie so much! It had better be on DVD in time for my birthday 
El-Hazard: What is the plural of series? There are 4 El-Hazard series, two of which are OAV’s (El-Hazard: The Magnificent World, and El-Hazard 2), and two that are TV series (El-Hazard: The Wanderers, and El-Hazard: The Alternative World). I’ve seen parts of the first OAV and all of the 2nd OAV and TV series. These series are by the same people that created the Tenchi Muyo series, but, while some of the elements are similar (magical girls fighting over a relatively clueless guy, cute kitty-like creature with shapeshifting abilities, the TV series goes back and retells the story of the OAV with a whole new origin), El-Hazard takes place in a much richer fantasy world. And the visuals are gorgeous! The colors are sharp and vibrant, the characters are all handsomely rendered, and it’s actually a much nicer series to look at than Tenchi. I think Tenchi is more fun, though, with more likable characters. It’s really hard to say which I like better. I guess I like them about the same, but for different reasons.
Blue Seed and Inuyasha: I’m lumping them together because, let’s face it, they’re the same story. They’re both made for TV so the production values are relatively low and the visuals suffer for it. But they both have the same fairy tale/soap opera story: modern girl finds out that she’s the reincarnation of an ancient priestess, demons chase girl because she’s inherited something from her ancestor that they want, half-man/half-demon creature saves her so he can use her for his own purposes, then falls in love with her. But is he in love with her for herself or because she reminds him of the ancestor (or twin sister [Blue Seed]) that he loved? Meanwhile, she also falls in love with him, but they are too busy bickering to admit they have feelings for each other. And dead former lover has to show up to throw a monkey wrench into the works, too. All this while fighting different monsters every episode, leading up to a battle royale with the head evil monster (which I haven’t seen in either series yet, but I trust is coming). See? Same story. Still, I like them both. But I like Blue Seed maybe a little better because Kusanagi isn’t as mean to Momiji as Inuyasha is to Kagome.
This is already starting to run long, so here’s a quick round of up other videos I’d put in my top 10, if I had such a list: Akira, Perfect Blue (I’d think people who weren’t animé fans, but liked whodunits or psychological thrillers would enjoy this one, too), Roujin-Z (check out the scene towards the end where the nurse climbs the pile of trash the mecha has become-if that’s not rotoscoped, then that right there is probably the best animated sequence I’ve ever seen in my entire life! It actually looks like a person climbing on a pile of trash. I can’t explain it, but it gives me chills when I remember how realistic it looked), PatLabor the Movie 1 & 2, Ninja Scroll (the scene where Kagero offers herself up to Jubei Kibagami-yes, I’m looking these names up, there’s no way I could remember them all-and he just holds her, God, that makes me swoon), Neon Genesis Evangelion (haven’t seen the whole series yet, but I enjoy it even though Joel only gives it a C), Robot Carnival, Battle Angel, Vampire Princess Miyo, and a whole bunch more.
I’m not going to go into all the mediocre ones because there’s just way, way too many, but the videos that sucked so much big green donkey dick that they need to be mentioned are: Golgo 13, A.D. Police, Angel Cop, Roots Search, Genocyber, Suikoden: Demon Century. Ick. These videos have no redeeming qualities that I can think of. None. Absolutely none. Ick.
And I’m going to give it one more plug: Netflix.com is so cool, because now I can sit on my butt and rent all the animé DVD’s I want without leaving my house. It rules.