The movie the Crimson Kimono plot also reminded me of the great French film
Hiroshima Mon Amour directed by Alain Resnais. They were both released in 1959.
Japanese man romancing a white woman, but there was so much more to the story than that.
From Wikapedia
Hiroshima Mon Amour tells the story of a French actress (Emmanuelle Riva) who performs the role of a nurse in a film being shot in post-war Hiroshima. There she meets a Japanese man (Eiji Okada) and they become lovers. Using flashbacks intercut into the present day love story - the couple's meetings in hotel rooms, restaurants, etc. - the woman tells of her experiences during the Second World War in France, where she was involved with a young German soldier during the German occupation, and the consequences when the war came to an end.