I use emacs with emacspeak for programming and a good many other things. For pure terminal interaction outside of emacs I use a console-based screen reader called Speakup. For graphical applications, I use a screenreader called Orca. I don't use a whole lot of graphical applications, but I need Firefox for most of the "modern" web. I've also used Chrome with Chromevox over the years.

Honestly I prefer text-mode browsers when I can use them, but that ship has mostly sailed. I've been involved with the development of edbrowse; the author is a friend of mine.