the murakamis: funky, modern aesthetic (ryu leans more towards violent, destructive, rather than haruki's more dream-like aesthetic)
abe: kind of like kafka/vonnegut...try "woman in the dunes"
mishima: my favorite (im writing my thesis on narcissism and nihilism in his works). very classical style...my faves are "confessions of a mask," "spring snow," "thirst for love," and "the temple of the golden pavilion"
oe kenzaburo: similar style to mishima, slightly more modern perhaps--less decadent. "a personal matter," "seventeen and j," and "nip the buds, shoot the kids" are all good
tanizaki jun'ichiro: classical style--writes on interpersonal relationships...slightly misogynistic. "naomi," "the makioka sisters," "quicksand"
those are the heavy hitters of modern japanese lit (also kawabata yasunari, dazai osamu, endo shusaku...)
im not such a huge fan of classical, but there's always "the tale of genji"...