Chita Rivera recreates the original Gower Champion choreography for Bye Bye Birdie for “The Shriner’s Ballet” with the American Dance Machine for a special called “That’s Singing, The Best of Broadway.” Rivera was Tony-nominated for her performance in the original production, in the featured actress category, but lost to Tammy Grimes who was “featured” in The Unsinkable Molly Brown. Wasn’t that above the title billing nonsense a bit ridiculous?