@TheHoarseWhisperer

It's a fair point that you COULD potentially find a school, but by that same principle you COULD potentially find a "Dragon Breeder" and any other number of miscellaneous buildings. I was going more along the lines of it isn't typical to find a "school" as for the general fantasy setting (medieval English type era combined with high fantasy), as you yourself have correctly identified, most "schools" were done in monasteries, mosques, etc. Schools have differed over the years and have indeed existed in one form or another, Spartans were taught to fight and read, but given that they had a warrior culture I wouldn't say this is the typical "school" that most people would identify with and is probably more accurate to the listed "Warrior School". The variations of different types of school are all dependent on too many factors to be listed.

There's no parameters to the list (era/high fantasy/technology level/culture) so the list is pretty much endless anyway.