Good reads?
O.K. For American Civil War, I prefer first hand accounts.
Try E. Porter Alexander: Fighting for the Confederacy. It's better than his first book, "Military Memoirs of a Confederate." MMoaC is good, but the former was never written for public viewing. It was for his family and it provides insights into the Confederate Army of Northern Virginia much better than many other Confederates. Remember that after the death of Lee, the "Lost Cause" myth was started and many wrote from the perspective of the Lost Cause. Alexander didn't do that.
For the Union side, The Memoirs of U. S. Grant is an worth your time. Grant provides a very clear strategic insight from the Union perspective. His grasp of strategy is excellent and exceeds Lee. You might want to read Edward Bonekemper's "Grant, A Victor, Not a Butcher" which will give you more insights into Grant and how he stood in light of the Lost Cause myth.
For the Vicksburg Campaign, National Park Historian Emeritus Edward Bearss' The Vicksburg Campaign is the definitive read. Any serious student of the Western Theatre should read that 3 volume set.
If your interests takes you to the American Revolution, John Buchannan's "Road to Guilford Courthouse" is the best account of the war in the Carolinas. Scheer & Rakin's "Rebels and Redcoats" is the best overall account of the war by modern historians that I've read. For personal accounts, Joseph Plum Martin's "Private Yankee Doodle" is a readily available classic.