In practice, many of the gatekeepers to the layman using Bitcoin require so much documentation that anonymity should not be a major selling point. Perhaps you can acquire a few thousands USD worth that is anonymous, but trying to scale that anonymity doesn't go easily. Ironically, the needlessly growing inquisition into how I was using Bitcoin is what forced me to close my Coinbase account. They pretty much require the same information as a bank does, including photocopies of your state ID, even tax documents.

Having used a handful of the exchanges and other more casual wallets like Circle, it's obvious that the trend is towards more "security" and legitimacy by vetting users and knowing their real world identities, etc. Which can include Skype interview, scanning personal bills to prove addresses and so forth.