In the early years of film, black characters were routinely played by white people in blackface. In the first filmic adaptation of Uncle Tom's Cabin (1903), all of the major black roles were white people in blackface. Even the 1914 Uncle Tom starring African-American actor Sam Lucas in the title role had a white male in blackface as Topsy. D. W. Griffith's The Birth of a Nation (1915) used white people in blackface to represent all of its major black characters, but reaction against the film's racism largely put an end to this practice in dramatic film roles... This stands in contrast to made-up white people routinely playing Native Americans, Asians, Arabs, and so forth, for several more decades... As late as the 1940s, Warner Bros. used blackface in Yankee Doodle Dandy (1942)...
It seems to me that there have been lots of examples, in European and American movies, of Caucasian actors disguised to look like other racial types. For example the Fu Manchu movies, Charlie Chan movies and Lawrence of Arabia featured Chinese or Arab characters played by Caucasians or Hispanics. In Little Big Man, Dustin Hoffman played the Indian in the title role, and in The Searchers, German-born Henry Brandon played an Indian named Scar. In these films (in my opinion) this racial mismatch was not for the sake of humor; casting was simply based on criteria other than race, and audiences were expected to accept the depictions.
In films made abroad (or here, I guess), are there comparable examples of non-Caucasian actors painted pink to play Caucasian characters?