In Arkansas:
Scenic Highway 7, including Pedestal Rocks http://www.exploresouthernhistory.com/scenic7.html
Bill Clinton Presidential Library (Little Rock) like him or not, it's interesting
Buffalo River
Blanchard Springs Caverns/Ozark Folk Center/White River in North Arkansas
Northwest Arkansas: Crystal Bridges Museum in Rogers (fabulous collection of American art, and free), Walmart Museum in downtown Bentonville (good reminder of what Walmart used to stand for)
Diamond Mine in Murpheysboro (only one in North America)
Fort Smith National Historic Site/Judge Parker's Courthouse (edge of the western frontier)
Eureka Springs can be a fun place with Victorian-era houses, Passion Play
Mount Magazine State Park, Lodge is beautiful, highest point in Arkansas
That's what comes to mind now! It is a beautiful state once west of the Mississippi River bottoms and cotton fields.
Paul and Tracy-----Thanks so much, this is the type of thing I am looking for.....