Good idea - great topic.
Not that I am reading a lot on phtography, but I will mention especially one book that is really inspirational, emotionally moving and simply great to open when at rest with a good cup of coffee:
* 'The Family of Man', a book with photos from an exhibition at MoMA in New York City in 1955. (A portrait of the whole humanity)
One more specialized book, that I have enjoyed much, too, is:
* 'Still Life : Irving Penn Photographs, 1938-2000'
Besides I do read now and then books on how to make photos. No specific recommendations here, as I tend to use the web more and more, as I can direct my searches in specific directions as needed.
I look forward to more good ideas coming out in response to this topic.