Both Murakami's (Ryu and Haruki) are worth reading.
"I Am a Cat" (By Soseki Natsume) I personally found a bit hard going, but it is considered a masterpiece by some.
I find Yukio Mishima a bit too dense, but, again, others would seriously disagree.
Junichiro Tanizaki is very good.
Put "Japanese Literature" into Amazon's search engine and it'll bring you up a nice list to experiment on.....