Given the generally paltry rewards they usually offer at this point, I tend to avoid books of the broadest "A ___ History of the Civil War" variety. Over the past couple decades, a handful of authors have attempted to synthesize the campaign literature. Herman Hattaway's Shades of Blue and Gray: An Introductory Military History of the Civil War(1997) and David Eicher's bulky The Longest Night: A Military History of the Civil War(2001) received mixed reviews (like many books do) but John Keegan's The American Civil War: A Military History (2009) is apparently wretched almost beyond belief. One might also include Russell Weigley's well regarded study A Great Civil War: A Military and Political History, 1861-1865 (2000) in the bunch.
To get to the main point, later this year Princeton will release Williamson Murray and Wayne Wei-siang Hsieh's A Savage War: A Military History of the Civil War. Among Murray's extensive writings on warfare and strategy, I've only read portions of his WW2 book co-authored with Allen Millett but I rather liked Hsieh's West Pointers and the Civil War: The Old Army in War and Peace. I would like to give this new one a look.