What do you need to do? What do you want to do? What things don't really matter to you?
Organize it on paper or whatever medium makes sense. I like OneNote and Trello. I've found its one of the easiest ways to remove those thoughts from the back of my mind is to put them someplace actionable and consistent. A stream of consciousness todo list isn't very productive.
With regards to instapaper or readability, either:
a) Treat it as a bookmarking service, not a read-later service. Then reference it when a topic comes of importance to what you wrote down above or you're just bored.
b) Clear out all 800 articles and start over, possibly being more selective or auto-clearing them monthly.
These are both things the brain does naturally, pruning through attention and focus and long-term storage for future reference :)
EDIT: Formatting