I was very disappointed by Evangelion; no idea why. Normally, anything from Gainax is just great (Gunbusters being my favourite), but I just didn't like Evangelion. Possibly because I saw it just after another series with exactly the same plot...
Anyway: my favourite overall is Urusei Yatsura. If there were as many episodes of Cowboy Bebop that might have made it, but it's great despite the fewness of the episodes.
I don't know about them americans, but here in Ireland I used the internet - the provider of all that is good - to order the DVDs. There's a box set which also contains a CD of the excellent soundtrack.
I mostly get the Manga comics. They last forever and they have no chane of getting recorded over. This is the comics I have:
Neon Genesis Evangelion
You're under arrest!
Vampire princess Miyu
Oh My Goddess
I'd have to say mine are Cowboy Bepob and Outlaw Star, both are shown on CNX. Cartoon Networks new Anime/Manga only channel. It's great they show loads of series like Tenchi Myuo and Gundamn Wing, both of which I like but never seem to get round to viewing.
I also liked Ghost in the Shell, but I still get confused with the plot of that one!