From the entire cast of the show, a number of the actors received both nominations for a number of awards, as well as winning quite a lot of them too. Vivian Vance was the first to win an Emmy for Outstanding Supporting Actress, while William Frawley was noticed at least 5 times. Lucille Ball received 13 nominations and went on to win at least 5 awards. But strangely, Desi Arnaz not only didn’t win a single award, he wasn’t even nominated for one once, making people wonder the reason why.