AACSB built its accreditation process around the goal of creating and supporting the next generation of business leaders. This board provides quality assurance, business education intelligence, and professional development services to member institutions.

ACBSP was developed to accredit programs, including those offered at two-year institutions like community colleges with a teaching (rather than research) emphasis.

Hi

It is the Association to Advance Collegiate Schools of Business International (AACSB).  - Voluntary and Non-governmental accrediting agency.

Those programs having this accreditation makes them a part of some of the best elite group programs. It is not easy to get this accreditation as it is known for its very high standards worldwide.

Other business school means it includes those which doesn't have been AACSB ACCREDITED.

And so here's a answer to your question:- Without a doubt AACSB ACCREDITATION Business schools are far more better.