If you're extremely wealthy, then there are advantages in some areas
of the world for "private banking". Primarily, it is a tax dodge to
make money offshore and not report the profits to the IRS, however
reciprocal treaties (they say for terrorism) are really to attack
the financial privacy of people who are shifting monetary jurisdictions.
If you've that much money, then you should probably look in to offshore
trusts, where you are not "owning" the investment, rather trustees
do,
and you advise them on your interests.
Swiss banks are no better than canadian ones these days, and you
really can choose between any bank that will offer offshore services
to non-nationals. Many such banks have minimum deposit amounts.
If you just type things like "euro offshore accounts" in to google,
you'll get a blizzard of information.
If you really want to get your finances out of the eyes of american
nazi-police scrutiny, then best to look at hongkong and chinese
banks that are anathema to cooperating with US authorities. Same
same, any bank can give you a euro account... just like banks all
over the world offer dollar accounts.
Honestly, this is really a "savings" account, as you will pay exchange
fees to deposit your funds, and changing money back will penalize
you... if you put the funds away to protect a nest egg, that's
another thing... and then really, you should spend a few hours
googling.... all these places explain their offerings on the web,
and you need only read and study the possibilities.
Rhetorical questions to consider:
How long are you looking to invest?
Are you potentially planning to realize the profits in euros?
(moving to europe)
Are the funds already offshore?
There are on-shore euro accounts as well, but IRS monitored....
If lots of money are involved, then, as another poster said, there
are deposit vehicles like CD's available.
http://www.wealth.barclays.com/BRC1/jsp/brccontrol?task=articleint&site=int&value=135&menu=39