I am going to be on a friend's podcast this week and this is the topic we are covering. I think most of us are at an age where very popular movies and TV shows from our youths had some seriously unacceptable themes or characters... homophobia, sexism, racism, etc... I wouldn't choose this one myself, but for example: Long Duk Dong from 16 Candles is not some stuff you'd be able to get away with in a movie right now.
1. Remo Williams: The Adventure Begins
A main Asian character is played by an extremely white man. Granted he is a pretty cool character and always has the upper hand, but you know... he's still a mystical man from a fictitious place in orient with fictitious magic martial arts and that is some major other-ness. Bonus sketchy points awarded for the fact that they are based on a long series of cheap adventure novels that openly espouse a heinously conservative worldview. I have read dozens.
2. Gung Ho
There is a genre of movies where dipshit americans are fish out of water in Japan (or Japanese settings) of which I am a leading expert. It's seriously messed up to portray Japanese people as an inscrutable hive of aliens who eat live bait and hilariously mispronounce words, even though, once again, the Americans are usually portrayed much worse. Still, I watch this movie like... anytime I am bored.
3. Temple of Doom
I mean come on... jesus...
4. Full Metal Jacket
I'm willing to bet all my land and holdings that 99% of the audience are actually watching for the direct thrill of abusive, racist, homophobic slurs and insults being hurled by a true artist of the form and only... maybe... tangentially enjoying the main theme of dehumanization.
I have more, but I want to leave room for exploration.