Maybe I'm not sure what Independent Cities means... but I thought for sure Vienna would be on here. Aren't they an independently governed municipality? Not part of Fairfax County?
Vienna is an incorporated town within Fairfax County. They have their own government and police force, but those institutions are subordinate to those of the county. Further, they do not have their own courts or school system. Compare to Falls Church which does have its own courts and schools, and need only answer to the Commonwealth.