In fact there's no such a thing as a EU-US deal at all. US has separate deals with each EU country. If you're from one of non-blessed EU countries (Bulgaria, C

In fact there's no such a thing as a EU-US deal at all. US has separate deals with each EU country. If you're from one of non-blessed EU countries (Bulgaria, Croatia, Cyprus, Romania and most notably Poland), you can not enter the US without a visa, even for tourism.