I went to private school... for the "standards" -- english, foreign languages (spanish, italian, french, german, or greek, plus 3 years of mandatory latin) math, and science classes -- there were regular classes and honor classes (in the context of a public school, our regular classes would probably = their honor classes, and our honor classes would = their AP classes).
there were no levels for other classes (art, music, religion, electives).
by the time senior year hit, everyone was required to take 1 years worth of religion and english (you could do 2 english classes in the first half and none after christmas break, for example) and the rest of your schedule was purely electives, so our whole honors distinction was more or less over after junior year.