For me, The Breadwinner by Deborah Ellis reminded me a lot of The Kite Runner. While it is written for a younger audience, it still deals with the injustices wrought by the Taliban and a child's desire to do right by their family despite these circumstances. As it is also set in Afghanistan, the scenery and descriptions of the cultural and physical landscape are also similar.
Another book to consider is The Inheritance of Loss by Kiran Desai. Like The Kite Runner, this book deals with the dangers that come with an insurgency and a family's struggle to maintain a sense of normalcy amidst the chaos around them. The father and son relationship between the judge and Biju also has a number of parallels between that of Baba and Amir.
Finally, I would recommend you take a look at The Space Between Us by Thrity Umrigar. This book examines the close relationship between two people from very different social classes. Just as Amir and Hassan form a close friendship...
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