Antebellum, "roots of the conflict" books:
Cavalier and Yankee by William Taylor
The Southern Dream of a Caribbean Empire 1854-1861by Robert May
Antebellum ed. Harvey Wish. Contains "Cannibals All!" and "Sociology for the South" by George Fitzhugh, and "Impending Crisis" by Hinton Helper
Southern Honor by Bertram Wyatt-Brown
The Cotton Kingdom by Frederick Olmsted .
Life and Labor in the Old South by Ulrich B Phillips
The House divides byPaul Wellman.
The Freedom-of_Thought struggle in the Old South by Clement Eaton
The war itself (sets) :
Anything by Allan Nevins (8 volume Ordeal of the Union set, which covers 1847-1865)
Anything by Bruce Catton (Centennial history of the civil war trilogy, 2 volume bio of US Grant, Army of the Potomac trilogy)
One volume histories I like include:
Battle Cry of Freedom by James McPherson
The Land They Fought for and Experiment in rebellion, both by Clifford Dowdey
The Confederate Nation 1861-1865 </U. Emory Thomas (pro south)
"A People's Contest" : Union and the Civil war 1861-1865Phillip Paudan (pro north)
Civil War on the Western Border 1854-1865 by Jay Monaghan
And :
The Rise and Fall of the Confederate Government by Jefferson Davis
Anything by Bell Wiley (he did works on soldiers of both sides, women , poor whites, and southern "Negroes" (his term, and that's part of the title), and how they lived 1861-1865)
The diaries of Sarah Morgan and Mary Chestnut (especially the first book)
I don't know what stance you take on the civil war, but if you're pro north , you'll love :
When the Guns Roared : World Aspects of the Civil War by Philip Van Doren Stern.
If you're pro south, watch your blood pressure. This book was so blatantly biased , I don't believe it's been reprinted once. That, even though there's always a market for civil war books.
A similar but much better book is :
The North, The South, and the Powers 1861-1865 by DP Crook.
Post civil war books :
The Mind of the South by W J Cash
I'll Take My Stand by Twelve Southerners
Baptized in Blood : The Religion of the Lost Cause Charles Wilson
The Lost Cause : The Confederate Exodus to Mexico by Andrew Rolle
Reconstruction Eric Foner
Masters Without Slaves by James Roark
And the Entire 10 volume History of the South Series, especially:
The Growth of Southern Nationalism By Avery Craven (vol 6)
The Origins of the New South 1877-1913 by C Vann Woodward (vol 9)
I think there's now a volume 11 bringing the history up to the 1970s.
There's some other good ones out there, but for a variety of reasons, these are the ones I most reread.
Southern History of the War By Edward Pollard.
Written as it happened, constantly reprinted .