I haven't heard of a way to withdraw anonymously. In my opinion the whole concept of a bitcoin ATM kills the reason I liked BTC to begin with.
Why can't they go back to being fun!? Bitcoins were never meant to be for the masses.
Why are you making false asumtpions? Where was it written that Bitcoin was never meant for the masses? Satoshi designed Bitcoin with features to be able to scale up to a global level.
The only way to withdraw "anonymously" is by meting with a person in real life and exchanging it for cash in-hand, all of the other features will require that you give away a certain % of anonymity. But then again, no one is going to care if you withdraw a BTC for 300 dollars, just mix your coins before withdrawing. If you start withdrawing a lot of money recently then you'll probably get investigated.
There are Bitcoin ATMs that let you withdraw as well as deposit, and some of them only require a cellphone number as ID for small withdrawals. Not all countries have such Bitcoin ATMs and those that do probably have cameras in the nearby streets. Nonetheless, it's a fairly anonymous way to withdraw.