Originally Posted by stut
Many car hire companies are less than happy for you to take your hire car to the new EU states. And that means you're not insured there, and the border guards certainly look out for that.
Less than happy is a bit of an understatement--it's a flat-out violation of the rental agreement. And it's not just New EU states--Hertz and Avis in Germany and Switzerland, for example, often won't allow cars (particularly expensive ones) to be taken to Italy or Spain.
The costs of one-way rentals vary widely according to the countries involved, and there are some interesting wrinkles: at Geneva, for example, it's possible to rent a car in either the French or the Swiss part of the airport, with massive impact on the cost of returning the car to, say, Paris.