What is the drama that teaches godliness righteousness and good will to all men among rulers and ordinary citizens is called?

Oh, dude, that's like a classic one! The drama you're talking about is called a morality play. It's basically a theatrical genre that aims to teach moral lessons to the audience, like reminding rulers and regular folks to be all good and stuff. So yeah, it's like a way to sneak in some life lessons while you're watching people in fancy costumes prance around on stage.