So I’ll ask here as there may be some lurkers who can help me in my quest:

I am trying to find a basic e-reader.

I have a simple want: I want a built in browser that will let me download ePub and pdf etc from the browser.

I’m not interested in bundled bookstores. I’m not keen on having to load books onto it via a pc app nor emailing them nor having an Amazon account neither. I just want to be able to browse and download FanFiction and stuff like that from a basic browser.

I am guessing I want an android tablet with an e-ink screen? What choices do I have and what do people recommend?

I use a Kobo Clara HD. It has a Kobo store where you can buy books, or you can use the “experimental web browser”, point it to libgen or your libraries website, and download whatever book you want.

More often than not though I just hook it up to my Linux laptop and transfer books via usb.

I use a Kobo Libra H2O which has been quite good to me. For people that want to take it to the next level, there's the calibre-web project[1]. It's able to tie into calibre and push books to kobo devices through the built-in sync command.

[1] https://github.com/janeczku/calibre-web