The Mikado, 1939
I am not overly familiar with the original Gilbert and Sullivan musical, so I came into this film having to just judge what was on screen.
The heir to the throne is in disguise as a poor musician, and he is wooing a lady. The city's executioner must execute someone by the end of the month or the city will be demoted to a town. So the executioner and the prince-in-disguise come to an agreement whereby he will marry the woman he loves, but agree to be executed (for the crime of flirting) at the end of the month.
To begin with, the "yellow face" aspect (British actors playing Japanese characters) was actually a lot less problematic than I'd expected, and for a combination of reasons. First of all, there is thankfully very little makeup used to mimic Japanese facial features, and the actors lean into their British accents with no one attempting any sort of accent. (And I believe that this is an intentional aspect of the show, yes?). Secondly, the costuming, scenery, and make-up/hair are so over the top that it's hard to take any of it seriously. I read a few articles/hot takes on the politics of the show. I can see the argument that it's offensive to put on the "clothing" of another culture, and to create a story that trades in some basic stereotypes and uses another culture's names and traditions as the punchline of jokes.
I guess that what sort of saves the story for me is that the main humor doesn't seem to actually come from the "otherness" of Japanese society. It comes from the absurd behavior of the characters. And to that end, it almost doesn't feel like the story needs to take place in Japan. The basic elements of the story would work just as well in almost any country.
In any event, the performances are all very broad and very funny. Almost all of the main cast gets several stand-out punchlines (saying of the plan to bury her alive, "It is a very stuffy death . . ."). The whole thing exists in a heightened universe of color and kooky facial expressions. There's some good physical comedy and you can feel in the film that good energy that means it would be a compelling stage production.