What are all of the main buildings in the "Anthem".

I don't know if I have all of them, but here are a few more besides the two you mentioned:

Candle Makers, the Palace of Corrective Detention, Home of the Peasants, the Theater, and the home of the mating thing they do every year.

I think these are all the major buildings: Home of the Street Sweepers, Home of the Scholars, Home of the Infants, Home of the Students, Home of the Useless, Palace of Mating, Palace of Corrective Detention, the Theater, and the Home of the Peasants.