hi peter, you're right, that review site doesn't review the latest books, like the one by mastronarde, and athenaze.
but greek has been a static frozen language for over 1,000 years now, it's not like e.g. french books, which need to be updated as the idiom changes.
the only new ancient greek book which i have seen which brings a new "learning approach" to greek (apart from thrasymachus) is peter jones' learn ancient greek, which i enjoyed working through although it admittedly doesn't teach you all aspects of grammar. the other new books just seem to reword the older books, without any attempt to bring in better learning techniques like e.g. the major mnemonic system, association, immersion &c.
i think i've mentioned in another post the book lampas: it's really good as well, but it only gives brief grammatical descriptions, and no comprehensive vocab lists.
there is one new textbook full of classical greek dialogue for classrooms, but it seems to require a teacher: it doesn't give full vocab lists or grammar explanations, so an auto-didact couldn't get much from it.
my favourite greek textbooks are some of those old books reviewed on the uk site, like sidgwick's prose composition and rouse's demonstrations of greek iambic composition.