Hi Lauren,
I'm assuming you mean not fraternities which will technically allow people in
regardless of culture (but which perhaps have special emphasis on a particular culture/ethnic background. E.g. HBGLO's inc. non NPHC and NALFO orgs). But I took what you posted to mean that you were interested more in fraternities which had mulitculturalism as an overriding objective and which were
not set up specifically to cater for any one "community" more than another.
Anyway, someone posted a question about multicultural orgs (if anyone knew any others) and I found it the other week (it was posted two months ago) and no-one had replied. :-( So, in doing a bit of quick research I found a bunch of regional/national multicultural orgs - more sororities than fraternities but a bunch of fraternities too. Here are the ones I found:
decadence.