Two professionals have already weighed in that Grados are excellent for classical music. To be honest, I often doubt reviewers of classical works by armchair audiophiles. Seeing as how most orchestral/vocal works are recorded, I find it hard that it would ever recreate a live performance no matter how good your gear is. All the headphones recommended here are good. Maybe investing in a DAC or amp would be better money spent when realizing detailed classical reproduction.
Not entirely sure what this post is saying, but in reply to the two "professionals" who weighed in, I would just say that I owned Grado SR80s and absolutely hated them on classical, a view which is in line with the general consensus. Anyone is entitled to disagree without penalty, but they will never find themselves in the majority on this forum.