As well as the state treasurer, secretary of state and the comptroller. 

Currently the treasurer, secretary of state, and the comptroller are chose by the legislature, and the AG is chosen by the state supreme court. 

(State Senator Rosalind) Kurita (D-Clarksville) wants to amend the state constitution to allow the people of Tennessee to elect those offices.
“Everyone across the board should have an opportunity,” Kurita told a gathering of the Nashville Women’s Political Caucus Tuesday. “I want us all to have a chance, a shot.”…
Last month, Lt. Gov. Ron Ramsey (R-Blountville) appointed Kurita to serve in the Senate’s No. 2 position, Speaker Pro Tem. That came after Kurita cast a pivotal vote that helped elect the Republican.
Senate Republican Leader Mark Norris (R-Collierville) said the GOP is going to give the idea of popularly electing constitutional officers “increasingly serious consideration.”

Who knows, this thing might actually have some legs.  Catch the full article here. 

Heck, the Nashville City Paper thinks making elected officials more accountable is a good thing.  They even go so far as to say “It is about time.”