Cosby was actually a remake of the great BBC sitcom, "One Foot In The Grave".
The opening credits for "Cosby" feature Bill (Hilton) walking around New York City.
The original story of this series was to be a continuation of "The Cosby Show" with Telma Hopkins as Claire Huxtable because they couldn't get in touch with Phylicia Rashad. Then, Bill Cosby changed the plot and story to do something different and created a new backstory. So, when Telma was dropped as Ruth Lucas and Phylicia Rashad was cast she didn't know about the plot change and thought she would still be playing Claire Huxtable and when she heard the news she was devastated but still a little happy at the thought of doing something new with Bill.
Bill Cosby and Phylicia Rashad previously worked together as husband and wife on The Cosby Show. They played Cliff and Clair Huxtable for eight years together and continue with more four more years together.
Audra McDonald was originally cast as Erica Lucas but was dropped with Telma Hopkins.
Telma Hopkins was originally cast as Ruth Lucas but due to lack of chemistry between her and Bill Cosby the producers got Phylicia Rashad.