college (BrE), school (esp. AmE)
elementary-school, high-school, middle-school (all AmE)
independent-school, private-school, public-school (all AmE)
assistant, vice

Principal is used with these nouns:
actor, actress, adviser, agent, aim, analyst, aspect, asset, bedroom, brand, cause, character, characteristic, component, conductor, contributor, dancer, designer, disadvantage, effect, element, enemy, exponent, export, feature, focus, ingredient, instrument, lecturer, means, method, minister, negotiator, object, objection, objective, officer, part, partner, purpose, reason, recommendation, repayment, residence, rival, role, shareholder, shopping centre, soprano, source, speaker, sponsor, stockholder, street, supporter, target, task, thesis, type, witness