"Surfin' Bird" by The Trashmen
"Love Me Do" by The Beatles
"Good Vibrations" by The Beach Boys
"Twist and Shout" by The Isley Brothers
"(I Can't Get No) Satisfaction" by The Rolling Stones
"Surfin' Bird" was recorded in 1963, while Bye Birdie premiered in 1960. "Love Me Do" was released in 1962, while Bye Birdie premiered in 1960. "Good Vibrations" was released in 1966, while Bye Birdie premiered in 1960. "Twist and Shout" was released in 1962, while Bye Birdie premiered in 1960. "(I Can't Get No) Satisfaction" was released in 1965, while Bye Birdie premiered in 1960.
Therefore, none of these songs are originally from the musical Bye Birdie.