Here's what rhymes with monarchical.

Consider these alternatives

absolutism / given despotic / logic dictatorial / editorial autocratic / democratic centralization / relation theocratic / democratic tyrannical / mechanical feudal / pupil overreaching / teaching authoritarian / agrarian anachronistic / characteristic régime / seem feudalistic / characteristic egalitarian / agrarian polity / quality totalitarian / librarian despotism / given centralizing / rising ancien / seen paternalism / given