The story
Spare Parts inspired was
Rise of the Cybermen/The Age of Steel. Incidentally, Big Finish is re-releasing both that and
The Chimes of Midnight on vinyl.
https://www.bigfinish.com/releases/v/th ... ition-1441
https://www.bigfinish.com/releases/v/sp ... ition-1440
...Ish was a brilliant story, particularly because of the central concept behind it.
Bang-Bang-a-Boom! was indeed a send-up of the Eurovision Song Contest, as well as
Star Trek, and it was a pretty good story despite the silliness.
And
Loups-Garoux is a
Fifth Doctor story, Jack Remillard.
You also forgot two other excellent stories on that list to recommend to Cheery, both by Robert Shearman.
The Chimes of Midnight is set in an Edwardian house where time is playing up, murders are happening on the hour, every hour, even when an hour hasn't actually passed, and Charley has a connection to the house.
Jubilee is the basis of the first Dalek story of the new series, but is quite a lot better, examining a parallel timeline where, after the Doctor saved England from an invasion of the Daleks, a totalitarian dictatorship has sprung up in the form of the English Empire. It compares humanity to the Daleks, as well as looking at how cheapening villains for media can be a dangerous thing.