Not sure what you mean by "besides with American," but if you're referring to movies mixing cultures exclusive of "American" culture, I can think of a couple.
The Japanese-Korean action movie SEOUL (2002) is a good, albeit somewhat one-sided cross-cultural study in the guise of an cop thriller, although it’s clear the mostly-Japanese filmmakers prefer to paint their countrymen as more “enlightened” than the Koreans in the film, which is a small slap in the face. The Korean film 2009: LOST MEMORIES is a nice counterpoint to this film.
Tonnes, and I mean TONNES, of Hong Kong pictures deal with the relationship between Hong Kong and the mainland - two decidedly different cultures - at just about any time in history you’d like to examine. Pre-handover films painting mainlanders as an illiterate, desperate, scheming plague are a dime a dozen.
The awful romantic comedy FALL FOR YOU sort of highlights the Chinese diaspora in France, although it never rings true for a second, nor does the hit comedy IT’S A MAD MAD WORLD II from 1988, in which an ambitious family learns many hard lessons living abroad in the urban jungles of...British Columbia, Canada. Herman Yau’s gory Category III film EBOLA VIRUS positions its Chinese characters in South Africa, where Anthony Wong rapes and kills an infected local, then unwittingly spreads the virus around.