There are only some old EU15 members listed, but not a single country from the 2004 extension, nor Bulgaria and Romania. I live in the Czech republic, which has some kind of non-visa agreement with the USA (ESTA?), something much simpler and easier than regular visas, but you still need some kind of stamp. In fact, there was a discussion about this and how should be our EU membership leveraged in order to get a better position, but there weren't much of a agreement. I believe that old EU states (Great Britain first) weren't happy about the fact that there should be some common policy.
(Indeed, Schengen isn't equal to EU, it isn't even a subset of it, there are non-EU countries included, and some EU states aren't members (Great Britain). But there isn't any common policy, both EU and schengen-wide.)