For any non-US citizen looking to go that route... Panama looks pretty good.
Then there are some Caribbean places of course, I'd strongly recommend reading up on each
country's banking-policies though..
Some of them are "bending over" to the international community's requests for strengthening of
anti money laundering policies etc. ...
For all of us in Europe (tjenare

), it's NOT slick to have an account in another country WITHIN Europe...
The regulations are being tightened in EU as well, putting pressure on Switzerland to "bend over".
But of course, if You're not gonna make a secret out of it, You might as well choose say.. Finland.