This section of Arizona Color lists links to private schools offering Kindergartner through High School. I will break out groups that have more than five schools.
Great Hearts Academies (www.greatheartsamerica.org) - review Great Hearts is a non-profit network of public charter schools dedicated to improving education nationwide through classical preparatory K-12 academies.
Benchmark (www.benchmarkschool.net) Benchmark offers preschool and elementary school services at 4120 E. Acoma in Phoenix.