A Library is just a collection of books that can allow an untrained person to make a Knowledge check – although only to find the answer to easy questions in a field. Some Libraries (with books that cost extra) can add a bonus to a specific Knowledge Roll. A library might run a 'Copper School' on the side as a way of supplementing their income.
A Menagerie is just a small Zoo; most of the animals are pretty and innocuous rather than large or dangerous. It has both entertainment and educational value.
Observatory – complete with a telescope for observing the heavens. Generally of interest to those who study the sky - Astrologers, Astronomers, Navigators, Weather Watchers as well as Academics and Mages of all sorts.
Museum – A collection of Curios that is both entertaining and educational. It might be of assistance to some scholars, particularly when used in conjunction with a library.
Zoo – a collection of larger animals, some of which may be quite dangerous.
School – A school teaches general education until the age of 14/15. All schools teach reading, writing and sums. Some, according to the needs of their students parents, teach other general skills and philosophies as well as well.
Sword School - Sword Schools teach armour and weapons skills and don't (generally) teach a normal school curriculum. They may teach a duelling style as well. (1x Unit Light foot)
College – A finishing school for characters from from the age of 15 onwards, many incorporate a School for basic education, but are able to continue class or specific skill training. An Academic College specialises in Craft/Profession/Knowledge skills; a Bardic College specialises in Performance; a Magic College in magic and the arcane; a Military College in various military skills, styles and feats (2x Units Light Foot). All Colleges provide nice accommodation for their principle.
Academy – advanced education. See College for specialist areas. All Academies provide good accommodation for their principle. A military Academy is good for 1x unit of Light foot and 1x Unit of light Cavalry.
* University – The pinnacle of educational establishments – often made up of a collection of schools, colleges and academies. All universities provide good accommodation for their principle and founders. (University is good for 2x units of light foot)