Thanks for this Tip:
We have CCBill already on our site as our (new since Jan.) main biller. But we have found only the possibility to charge in Euro on the payment way "direct debit" ( debit direct from the bank account ) .
For credit cards we can charge only in US Dollar for all countries.

Maybe we have understand it wrong on CCBill.
Let me know: Is it possible to charge Credit Card Users from the EU in Euros?