For program purposes, their are differing groups,(nursing etc...)
In business....to have a business program accredited, the AACSBA is the BIG and ONLY true accreditation. I taught at XXXXX university, a fully accredited University and was very impressed at how much goes into keeping the AACSBA accreditation. They do a great job with the kids IMO.
Schools without AACSBA use regional boards like the southpark-Leprichan consortium assocaiation.