Not particularly "easy" or "quick", but if anonymity is your goal:
 - http://mndrix.blogspot.com/2011/09/easily-anonymous-bitcoins.html

In-person for cash is one method of buying bitcoins without giving out any identity.  There are several services:
 - http://en.bitcoin.it/wiki/Category:Local

Perhaps there are other methods here:
 - http://en.bitcoin.it/wiki/Buying_bitcoins