When the Beast is angry when Beauty doesn't want to play with him, he roars. This is a reference to The Flintstones Fred's New Boss, where Fred Flintstone roars angrily when Barney is his new boss. And like Dino, Beauty gets scared.
Yogi Bear is referenced when Wilma and Betty in the opening scene are seen, finishing watching, the "Yogi Cavebear show". Yogi had debuted in "The Huckleberry Hound Show (1958)" then spun off onto "The Yogi Bear Show"(1961). Even Hoyt Curtin's classic "Yogi Bear" theme turns up.