As specific examples, Rabbi Soloveitchik wrote in The Emergence of Ethical Man, “It is worth mentioning that both prohibitions (bestiality and homosexuality) apply to non-Jews too and form part of a universal religion that is based upon the concept of man and personality.” Rabbi David Bar-Hayim of Machon Shilo has more recently discussed these matters.
There are Jews who act like the Noahide laws are some historical curiosity with no binding relevance today. For instance, a self-described Orthodox rabbi recently wrote of “how foggy our understanding is of Noahide law.” Contrast this glib claim with the Lubavitcher Rebbe’s advocacy of Noahide outreach and Rabbi Soloveitchik’s reflections:
“Our task was and still is to teach the Torah to mankind, to influence the non-Jewish world, to redeem it from an orgiastic way of living, from cruelty and insensitivity, to arouse in mankind a sense of justice and fairness. In a word, we are to teach the world the seven mitzvot that are binding on every human being.”
Judaism does not care only about Jewish conduct. Judaism is not indifferent to whether gentiles commit idolatry, rape, etc. The Seven Laws of Noah still exist, as do both our national and global duties.