I'll update this post from time to time to add in new schools identified, but I've started off with all the schools in the FT Global MBA 2011 ranking, and a few more.
Different programmes welcome applicants with degrees in business, or only those with degrees in other subjects, or both. Thanks to Ralph for pointing that division out.
*Both business and non-business degrees welcome
Texas A&M http://mays.tamu.edu/degrees-and-majors/masters/
UT Dallas http://jindal.utdallas.edu/academic-programs/masters-programs/
UW Milwaukee http://www4.uwm.edu/business/programs/busmasters/ms/
**Non-business degree required
Arizona State http://wpcarey.asu.edu/masters-management/index.cfm
Wake Forest http://business.wfu.edu/default.aspx?id=1512
**Business major/minor required
South Carolina http://www.mooreschool.sc.edu/academicprograms/masters/masterofinternationalbusiness.aspx
PS A few links in the list have broken, and I have fixed some of them. Schools often change their page addresses. if you find new addresses, please let me know and I can update the list.
[Edited by Duncan on Mar 16, 2015]