"We want to be identified, even on the internet. "

God is within. 
Would you not agree that any site which requires us to assume an identity in the form of a username - Griever, mdk, whatever - strips anonymity from us by default? If we wanted to be anonymous, which I believe is a good thing, how do we go about that effectively, while still avoiding all the necessary pitfalls like:
-Your online persona gaining slow recognition within a finite community
-Repetition which will inevitably lead to recognition
-IP-recognition on admin-side of the server 
-Confrontation leading to recognition
-Roleplaying leading to recognition
-Etc.