Quaker Schools are institutes that offer education based on the trust of Religious Society of Friends. The institutes that are founded by friend are normally known as Quaker Schools.

As per your request, I am giving you details of the some Quaker Schools.

Australia

The Friends' School, Hobart, founded by Quakers and governed by Quaker principles

Belize
Friends Boys School, Belize City, supported by Friends United Meeting

Bolivia

Bolivian Friends supported by the Bolivian Quaker Education Fund.

Canada
Pickering College, founded as a Quaker School

Costa Rica
Monteverde Friends School, under of Monteverde Monthly Meeting

El Salvador
Instituto Teológico de los Amigos de El Salvador, under of Iglesia de los Amigos en El Salvador.

Great Britain

Ackworth School, England. founded in 1779
Breckenbrough School, England for boys
Leighton Park School, Reading, England. Founded in 1890
The Mount School, York, England, founded by Yorkshire Quakers.
Friends' School Saffron Walden, England, the oldest Friends School, founded 1702
Sibford School, England, independent Friends school

Honduras

Instituto Biblico Jorge Fox, San Marcos Ocotepeque, Honduras, under care of Junta Annual Amigos de Honduras

Spain

CEBA: Friends' School Borricón de Arriba, Spain

Ireland
Drogheda Grammar School, Drogheda, under care of a meeting
Friends' School Lisburn, Lisburn, founded 1750
Newtown Junior School,
Newtown School, Waterford, Ireland
Rathgar Junior School

Jamaica

Happy Grove High School, Hectors River, founded by Quakers

Japan

Friends School (Japan), Tokyo, Japan, founded by Quaker missionaries

Kenya

Friends' School, Kamusinga, Kenya
Friends' School, Kigama, Kenya
Friends' Primary School, Mudete, Kenya
Chavakali High School, Kenya
Friends Theological College, Kaimoisi, Kenya,
Friends University Kamoisi Kaimosi, Kenya

Lebanon

Brummana High School (BHS) in Brummana, Lebanon was founded by Theophilus Waldmeier and Cybil & Eli Jones in 1873

Palestinian West Bank
Ramallah Friends Schools, West Bank

United States

EFCI: Evangelical Friends Church International
FGC: Friends General Conference
FUM: Friends United Meeting
NEYM: New England Yearly Meeting
PYM: Philadelphia Yearly Meeting