See the initial 2000 entry for the full background. I'm doing this based on the show's start date and memorable is not the same as either good or significant. Date information comes from Wikipedia and Anime-Planet.

Standouts:

• Spirited Away: See my discussion of it in my favorite Miyazaki movies.

• Earth Maiden Arjuna (or Earth Girl Arjuna): This has so many excellent aspects to it that it's a pity its environmental message turns people off. It has great secondary characters (including one who gets both excellent lines and an entire episode that was apparently so controversial that it couldn't be aired on TV), beautiful character focused episodes, and it never shies away from showing just how difficult and isolating it is for the heroine to be so strongly environmentally aware; it never pitches its environmental message as at all easy. (And I love the music without reservation because it hits my buttons just right.)

  It has always amazed me that Arjuna was actually licensed in the US, partly because of the environmental message and partly because it's so much a subtle character drama instead of anything more active (yes, despite the periodic quite nice action scenes).

  By the way, Arjuna is a Shoji Kawamori project. (Yes, I'm trying to get you to give it a chance.)

• Shingu: Secret of the Stellar Wars: This is an excellent show, as plenty of people will correctly tell you. I had some reactions when I finally saw it.

• Alien Nine: I'm not sure that this is a good show as such (for a start it doesn't so much end as stop abruptly in the middle of something). What makes it so memorable is that it's so harrowing once you start paying attention and it's chock-full of interestingly weird science-fiction concepts (especially for alien creatures). You can read more about it here and also see Scamp's longer writeup.

Ordinarily memorable:

• Animation Runner Kuromi: This is a very interesting and apparently extremely true to life look inside the anime production process. It's also touching, periodically funny, and full of small details.

• Read Or Die (OVA): The first OVA is the distilled and turbo-charged essence of a particular kind of wild, supernatural action-adventure show. Crazy things are happening all of the time, one on top of the other, right from the opening moments. The other two OVAs can't top it or fully keep up the momentum and so mostly serve to finish off the story, but this in no way diminishes the sheer impact and momentum of the first OVA.

  (The subsequent TV series is in an entirely different genre.)

• Millennium Actress: I'm not as taken with this film as some people are, but it's still an excellent film. Mind you I've only seen it once; possibly I should rewatch it.

Honorable mentions:

• Cowboy Bebop: The Movie: I'm docking this memorability points because it was basically a big episode of the TV series. It doesn't stand out beyond 'hey, a chunk more of Cowboy Bebop'. That's still nice but it's not really earth-shaking.

• Super GALS! Kotobuki Ran: This has frenzied energy and a quirky charm, but it's possibly a good thing that I only saw part of it; all 52 episodes might be a bit too much. I'm still amused by how the theoretically highly rebellious Ran always came down on the side of propriety when the dust settled.

Things from 2001 that I want to see and am going to real soon now, honest:

• Angelic Layer
• Figure 17

• Noir: This is yet another show that the local anime clubs started showing just as they started collapsing, so I've only seen a number of the early episodes.

• Popee the Performer: Due to Shinmaru at The Cart Driver. He inspired me to check out the first episode and yes, it's my kind of comedy. I just have to watch the rest of it someday.

Things I want to see are here in large part because I expect that when I see them they'll be good enough to place into at least the ordinarily memorable section. Some I rather suspect will be standouts.