LoglineThe Doctor’s quest to get Belinda home to Earth leads to a space station hosting a famous song contest. But a harmless night of fun soon becomes a battle to survive.
Recommendations for the Rani are easy if we stick with the TV show: any serial with her name in it. That's "Mark of the Rani" (1985) or "Time and the Rani" (1987).
Who's going to be the new butt of fandom guessery jokes is harder, but my guess is going to be the Meddling Monk/Nun.