From the univ of phoenix website :
University of Phoenix is accredited by the Higher Learning Commission of the North Central Association (30 N. LaSalle St., Ste. 2400, Chicago IL 60602-2504; 312-263-0456, 800-621-7440).
The University of Phoenix Nursing programs, including the Bachelor of Science in Nursing, and Master of Science in Nursing programs are accredited by the Commission on Collegiate Nursing Education (One Dupont Circle, NW, Washington, DC 20036-1120.
The Master of Science in Counseling program in Community Counseling (in Phoenix and Tucson) and the University of Phoenix Master of Science in Counseling program in Mental Health Counseling (in Utah) are accredited by the Council for Accreditation of Counseling and Related Educational Programs (CACREP).
Seems accredited, they are the largest online university and pretty well known. I'd look into it further though. Vader, which schools don't accept them?