academy (specialized school), vocational school

private school (US), public school (UK)

military academy, (especially) the Imperial Japanese Naval Academy

(historical) elementary school, national elementary school

school supported by a pro-South Korean organization

school supported by a pro-North Korean organization

school grammar / (specifically) Japanese school grammar, based on Shinkichi Hashimoto's work and now universally employed in Japanese schools and dictionaries.

school for special needs

driving school

it is easier said than done