Scenes from ""Bye Bye Birdie"" (Broadway cast): --Trio of teenage girls sing ""We Love You Conrad"" (joined by Dick Van Dyke) --Dick Van Dyke sings ""Put on A Happy Face"" (song & dance number with teenage girl) --Chita Rivera - ""Spanish Rose"" (song and dance number) Other guests: --Walter Pidgeon (actor) and Beatrice Lillie - ""Bored"" (""Bored People"") --Beatrice Lillie - ""Little White Bull"" --John Wayne - promotes the film ""The Alamo"" --Shirley Bassey (British singer) - ""S'wonderful"" & ""The Party's Over"" --Rowan & Martin (comedy team) - routine where an alcoholic tries to stop drinking --Sam Levenson (stand-up comedian) - routine about a school teacher --The Le Bully Trio (German novelty act) - German clown act