Not sure what you mean by local, but I am going to assume
that you mean orgs that are not members of the NPHC.
There are a lot of fraternities and sororities who are not affiliated with the NPHC and have chapters throughout the US. Off the top of my head comes to mind Gamma Phi Delta Sorority, Alpha Lambda Omega Christian Sorority, and Iota Phi Lambda Sorority.
I ran across a website a while back called
SororitySister.net that listed all (or the most commonly known) sororities for women of color.