I just finished all three parts of 1Q84 by Haruki Murakami. Before this book, I had only read his short stories (which were great, I am a sucker for magical realism and his writing style is very easy to process but not boring). I now have a phobia of NHK fee collectors. Good thing I don't live in Japan (well I've heard BBC inspectors can be pretty frightening as well). I really want to read Air Chrysalis now.
I'm currently reading Rashōmon and Seventeen Other Stories by Ryūnosuke Akutagawa. Yes, Rashōmon as in the Kurosawa film, although the majority of that film is based on In A Grove, another story also contained in this collection. Horse Legs is hilarious and dark.
I'm also reading a collection of stories by the Bengali polymath Rabindranath Tagore. He wrote the Indian, Bangladeshi and Sri Lankan national anthems (although the lyrics of Sri Lanka Matha have since been rewritten in Tamil) and was an important figure in the Indian independence movement.