"Eunice" was a special that was made in 1981 and aired in early 1982 on CBS. In some ways more dramatic in content than comedic, "Eunice" has never seen a release on VHS or DVD since it first aired.
Those familiar with 'The Family' skits from the Carol Burnett Show will recognize certain storylines, however they are presented in different ways dramatically, notably the Fluffy incident. Still, this lost gem of a special is definitely worth watching. It's success paved the way for "Mama's Family" later on. (In my honest opinion "Mama's Family" was a little less interesting than the original skits and the TV special.)
Ken Berry plays Phillip Harper, who was originally played by Roddy McDowall in 'The Family' skits. Ken Berry would later play Vinton Harper in "Mama's Family." Vicki Lawrence was nominated for an Emmy for her role as Thelma Harper in this special.