General:
* Pre-school: For children before primary school age.
* Post-school: Refers to education or training after completing school.
* Mid-school: Sometimes used for middle school, but not as common as "middle school."
* Co-school: A school that is run jointly by two or more groups.
* Inter-school: Relating to or involving multiple schools.
* Intra-school: Relating to or happening within one school.
Specific to types of schools:
* High school: Secondary school for teenagers.
* Elementary school: Primary school for younger children.
* Boarding school: A school where students live and study.
* Night school: A school that offers classes in the evenings.
* Summer school: A school that offers classes during the summer vacation.
* Sunday school: Religious education classes held on Sundays.
More abstract:
* Super-school: A school that is exceptionally good.
* Mega-school: A school that is very large.
* Cyber-school: A school that operates entirely online.
Let me know if you want to explore any of these in more detail or have a specific meaning in mind.