You might be browsing though TOR or a VPN but if you ever dare log into your account, you will be identified. There could be spying from outside or inside, or keys compromised. So you can read, but you cannot use your accounts on any site, or make perfect isolation of the anonymous account and never log into it from your real IP. This feels more like trying to maintain perfect hygiene than hacking. People will be sloppy and a single mistake can unravel a previously anonymous activity. The whole process will be much more difficult and people would not be disposed to do all that work, thinking that they will be OK without it. Because the level of discipline necessary for real anonymity is huge, I think we need to focus on that problem.

I envision a modified browser that has a registry of all your private information and enforces it's protection from the web browsing activity. You will not be able to send over the net your name, email, nickname, identifying cookies, your IP will be hidden, basically it will be like a nanny protecting you from sending any identifying information over the lines. That would be a place where people will be anonymous, but, again, you can't contact anyone you know or use any account that you have used from your real IP in the past, so it will be a different kind of browsing experience.