Well, how early 2000's are we talking about (technically we're still in the early 2000's)? Because it was around 2001 that DVD really became a thing, and thanks to how cheap DVDs were to manufacture we suddenly got a whole bunch anime that were previously unavailable. And better yet, subbed. No longer did we have to suffer those awful dubs on VHS. That was actually a pretty great time, it made me discover the Ghibli movies, Serial Experience Lain, NGE subbed, weird stuff like A Tree of Palme, and Neo Tokyo Labyrinth. I got to see Nadia: The Secret of Blue Water, Kare Kano, Cowboy Bebop, Trigun, Golden Boy, Fooly Cooly.I withdrew from anime in the early 2000's when I came across 2 realizations.
The first being that the Japanese entertainment industry is every bit as idiosyncratic in a bad way as its American counterpart. They produce a lot of crap, and it's relatively cheap to localize. As a result, we get a lot of the crap that the Land of the Rising Sun throws away. Bobobo or whatever it's called was the big Eureka moment there. God that show was awful.
The second was that I just can't stand weebs. And it was around that same time that Hayao Miyazaki lamented that too many otaku were running the animation industry. As he described it, they're not particularly good artists because they learn from mimicry of other cartoons rather than life and they're not particularly good writers because they don't talk to people enough to understand human behavior. It suddenly clicked with me why I felt the same metaphysical hostility toward weebs and shitty modern anime.
At least we'll always have Cowboy Bebop.
Not that things didn't go to shit a couple of years after that, but still, good times.