I don't see these as classics to be read for my interest. I see them, as many do, as the foundation for what used to be generally termed as the classic liberal (small "l") education. It isn't just novels and Greek philosophy. There are the foundations of mathematics from Euclid and Archimedes, Astronomy, Optical theory (Newton), Politics (Machiavelli, Locke, Mill), Electrical theory (Faraday), Darwin (natural theory), Freud (psychology), Einstein (relativity), Bohr (atomic theory), Keynes (economics), etc etc. To be sure, there are many examples of fictional literature, but that isn't the purpose of this set. There are also collections or lists for literature only on that interleaves page, and you may be confusing one of them for this set.
It's too bad that the Eastern list isn't compiled into a set yet. Some of them are going to be hard to find.