As a songwriter, TV writer, and associate film producer, Greene had a significant Hollywood career in features and TV. As a songwriter, he contributed songs to a number of 1940s films including "Call Out the Marines" (1941), "The Big Street," Alan Dwan's "Here We Go Again," "Sing Your Worries Away" (all 1942), and "Tulsa" (1949). He also provided TV themes for "Tales of Wells Fargo," "The Restless Gun," and "Lawrence Welk Champagne Time." Greene's indelible contribution to TV musical history is entitled "The Toy Parade" but known as the charming theme to "Leave It to Beaver." He produced the popular 50s sitcom "The Bob Cummings Show" and served a long stint as a staff writer on "The Red Skelton Show." Greene wrote many of the show's celebrated "Silent Spot" pantomime segments. He also wrote material for bandleader Bob Crosby (Bing's brother), Johnny Carson, and "Rowan & Martin's Laugh In." Greene also produced and wrote various Las Vegas acts.