Not counting books immediately or closely connected to ongoing studies, I think the last book I started reading was Karen Armstrong: A History of God. After having read its praise in several Internet posts, I finally found it in a used books shop.
The last one I finished was probably the autobiography by Sigrid Kahle, daughter of the internationally acclaimed orientalist/semitologist/theologian H.S. Nyberg, married to a late son of the rather equally famous German OT Scholar Paul Kahle, but a highly praised journalist, author etc. in her own right.
I hope she gets translated into lots of languages. The book has it all: history, suspense, intrigues, covering 1928 to 2003 and what happened in Europe as well as in Afghanistan, India and Pakistan; she started the frst Urdu theatre company in Pakistan, met Nehru, lived in the US during the Vietnam war, experienced pre- and post-WW II in Germany; and throughout, she spares no personal details, making it one of the most the moving books I ever read.