According to the maps in George Hilton's "The Cable Car in America", the following cities had at least one turntable:
San Francisco (didn't try to count them!)
Chicago (one, on the North Chicago Street Railroad)
Kansas City (three, on the Grand Avenue Railway)
Cincinnati (one, on the Mt. Adams and Eden Park Railway, for about a year before the line was extended in 1887)
Los Angeles (two, on the Second Street Cable Railroad)
Oakland (six)
Seattle (eight)
Denver (one, on the Denver Tramway)
Butte (one)
San Diego (three)
I might have missed one or two.