Bro, there's no such thing. Not anymore. Data correlation and multi streams take care of killing it. Your (and mine) only chance is to not be relevant to look for. Hide in plain view. Be as "banal" as possible. Otherwise, everything about us can be found if there's enough interest.
When I was a teen, I could leave home and be "lost" in minutes. And I did abuse that. I could be as sparse in details as I wanted when interrogated about where I had been. Even if I had been seen there, I could come up with an excuse.
Now? I carry a reporter with me. Where I have been and when. My exact location and timetable. If a file was created at a specific time and I may be suspected to have created it, where was I at that time, what were the actions made by that computer at that time... enough piles of evidence even if circumstantial that put me there opening that program at that moment in time.
So, no mate. No actual anonymity. Don't fool yourself.
Peace