It is very very important that all Americans understand the difference between the European Union, NATO, and the EUROZONE. They are not the same thing. Here from CRS is a good current overview of the EU!
European Union Enlargement, January 26, 2012
The EUROZONE and NATO will be explained quite easily by reference to those terms on Wikepedia. All of the above impact the USA in various ways.
I am sure that many would disagree but I believe that Russia east of the URALs could well be controlled by the HAN Chinese by the end of this century. Based on it criminal petrocracy Russia is almost a failed state with its intelligentsia largely trying to flee the country as well as its oligarchs trying to remove their wealth. Most of this movement is into the EU! Currently the demographic collapse in Russia is almost as great as in Japan.