Hermandad de Sigma Iota Alpha, Inc. (also known as SIA) is a national Latina-based service sorority.  
National--We have chapters in the North, South, East, and West, but most of the chapters are located on the east coast.
Latina-based--A lot of our service, programs, events, etc. deal with/educate about the Latin community, and the majority of our membership is of Latin heritage.  HOWEVER, we are TRULY a diverse organization and we open our doors to qualified, hard-working women REGARDLESS of race, ethnic background, religion, etc.
Service--Serving the community is our most important order of business, but we also participate in social activities. 
Also, not to sound like a hater or anything, but many of the "traditionally caucasion but have all different races etc." orgs represented on this thread are 99-100% White at my school.  There would be a token "other" here and there in a couple of the orgs, but most of them were keeping up the all-white tradition.  In case you are wondering, I attended the University of Maryland, which is not an all-white school at ALL.  But I do have to admit that some of the sororities on my campus, even while being 99-100% white, did manage to have diverse membership (as in religions, majors, interests, etc.).  But of course we also had the complete cookie cutter sororities as well.  I really hope that the situation is different at other schools, that there really IS ethnic diversity on other campuses, and I hope that the social sororities on my campus can find a way to bring diversity to their chapters.