>>2957402>past threadsNice selection of stuff and the archive site lets you download all of a thread's images in one, just watch out for dupes as you do multiple threads.
>boorusSites like gelbooru and safebooru are really good resources for official stuff and fan art, just search for the tags you want and you're good to go. The only thing to really note is to use underscores for tags with multiple words and to put the surname first, so in the case of Rei you search for ayanami_rei.
>Pixiv Popular site for Jap fanart and so has a fuckload of content, but requires a bit more to use it. You need to make a free account to save images and need a paid one for some additional functionality, the main thing being able to sort results by anything other than date. However, despite how long it can take I'd really recommend anyone here go through the entire results for Rei. So the way they're ordered doesn't really matter and keeping up to date after that only requires sorting by date, making a paid account unnecessary. Also, while you can use the site as a whole in English the tags aren't translated, so you'll want to search for 綾波レイ. A few baka gaijin also use it so you'll find some stuff under any combo of Rei and Ayanami as well as the words by themselves.
>http://pearsehillock.blogspot DOT co.uk/p/neon-genesis-evangelion.htmlScans of tons of official stuff like artbooks and calendars.
There's also other stuff I personally haven't used much if at all but might be worth checking like Deviantart, Tumblr and le reddit. For screenshots I've really no idea though.