I am an absolute nut about the movie The Third Man, and that inspired me to spend a week in Vienna in 2013--rode the Riesenrad, found the Harry Lime Door on Schreyvogelgasse, did a walking tour, watched the movie at the cinema next to my hotel, visited the wonderful Third Man Museum, didn't do the sewer tour or go out to the zentralfriedhof--perhaps on another trip.
My love of Downton Abbey led to taking a wonderful all-day tour of Highclere Castle as well as other filming sites.
The movie Marie Antoinette with Kirsten Dunst made me want to visit Versailles...loved the Hamlet and Trianon areas the most.
The excellent 1944 Powell & Pressburger movie A Canterbury Tale made me decide on Canterbury for one of my day trips on my recent trip to London--not much has changed there since the 40s!
While I'm aware that Bridgerton was filmed in Bath, it was not the inspiration for my other day trip--Persephone Books was, though I really enjoyed seeing so many perfectly preserved Georgian homes, gave a real sense of how it was back in the 1700s.
I love historic movies and TV shows, pretty much all I watch, and while I realize people in the past probably didn't look as sparkly fresh, I'm not bothered by it.