Rimmer appeared once in Doctor Who (in the 1966 serial The Gunfighters), and twice in Coronation Street: as Joe Donnelli (from 1968 to 1970), who held Stan Ogden hostage before taking his own life, and Malcolm Reid (in 1988), the adoptive father of Audrey Roberts' son Stephen. He made many guest appearances in British TV series for ITV, including Roald Dahl's Tales of the Unexpected, as well as ITC's The Persuaders! In 1980, Rimmer played Edward Condon in the BBC mini-series Oppenheimer, which was rebroadcast in the United States in 1982, and appeared in the 1984 miniseries Master of the Game, opposite Dyan Cannon.