From Muppet Wiki

3-2-1 Contact was a science series produced by Children's Television Workshop that ran on PBS from 1980 until 1988. The series was geared toward an older audience than Sesame Street and The Electric Company, and it focused on such topics as biological and zoological life, the environment, and physical forces.

In a season-two episode focusing on flight and flying animals, which aired on October 17, 1983, a song sketch was included that was titled "Big Birds Don't Fly," sung to the tune of "Big Girls Don't Cry." In addition to footage of ostriches and emus, Big Bird was showcased.