"Cybill Shepherd and Bruce Willis starred as Madeline ""Maddie"" Hayes and David Addison in which TV series (1985 to 1989) that revolved around cases investigated by Blue Moon Detective Agency?"
Cybill Shepherd the role of Colleen Champion in the night-time drama, "The Yellow Rose" (1983), opposite Sam Elliott. Although critically acclaimed, the series lasted only one season. A year later, Shepherd was cast as Maddie Hayes on ABC's "Moonlighting" (1985–1989), which became the role that defined her career. The producers knew that her role depended on having chemistry with her co-star, and she was involved in the selection of Bruce Willis. A lighthearted combination of mystery and comedy, the series won Shepherd two Golden Globe awards. She starred in "Chances Are" (1989) with Robert Downey Jr. and Ryan O'Neal, receiving excellent reviews.
Moonlighting (TV series) hit. The show is also credited with making Willis a star, while re-launching the career of Shepherd after a string of lackluster projects. In 1997, the episode "The Dream Sequence Always Rings Twice" was ranked #34 on (the 1997) TV Guide's 100 Greatest Episodes of All Time. In 2007, the series was listed as one of "Time" magazine's "100 Best TV Shows of All-"Time"". The relationship between David and Maddie was included in "TV Guide"s list of the best TV couples of all time. The series revolved around cases investigated by the Blue Moon Detective Agency and its two partners,