While attending college Simone acted in a weekly children's show for a Columbia television station.
Griffeth reunited with her former Ladies Man co-star Herb Edelman in an episode of The Golden Girls, playing Stan Zbornak's second wife, Chrissy.
In 2017, Simone began a comeback by portraying a hard-nosed, matriarch of a renowned, Savannah, Georgia law firm in the crime-drama, "Untouched".
Among the TV shows Griffeth has done guest spots on are Hawaii Five-O, The Six Million Dollar Man, Starsky and Hutch, The Incredible Hulk, The Dukes of Hazzard, Three's Company, The Greatest American Hero, Hart to Hart, Buffalo Bill, T.J. Hooker, Magnum, P.I., Riptide, The Golden Girls, Bret Maverick and Silk Stalkings.
Currently, while between acting jobs, she works as a real estate agent for high-end Low Country properties, together with husband Wayne McDonald.