Actually there's plenty of examples where something is "okay" on a white person but "not okay" on an ethnic person (or vice-versa), especially in ad campaigns, movies, tv, etc.:
1) Any episode of TV that involves terrorism (even domestic) and the bad guy/gal is automatically brown (be it Iranian, Afghani, etc.). The Unabomber was a white dude and one of the most infamous domestic-grown terrorists in recent history, yet people don't walk around suspecting every white guy in a hoodie. Put a Brown / Black guy in one and everyone is looking at them sideways.
2) Movies where the heroes are all white, and the villains are all conveniently ethnic. The Last Air Bender is a perfect example of this: the canon material featured an ethnically diverse world and cast of characters (Asian, Inuit, Indian), both good and evil with nary a white-looking person to be found anywhere, but the white-washed Hollywood casting put all the good guys as white kids and the bad guys as brown people. THAT is a deliberate decision on someone's part, and was clearly reinforcing bad racial stereotypes.
3) There was a news article last year about some Montreal Elementary School teachers that got in trouble for making their kids wear paper Native American head-wear for the opening day of school. While not "racist", it was flamed for cultural insensitivity. It would have been one thing if it was a First Nations heritage event initiated by Native students/staff, but it was just some would-be-do-gooders that were clueless that they had no right to touch this with a ten-foot pole.
http://www.cbc.ca/news/canada/montreal/outremont-headdresses-racism-quebec-school-1.3739916
4) Same goes for Halloween - tons of costumes have come under scrutiny when worn by people not of the ethnicity it depicts. Still an open debate mind you, but the PC police have been all over it.
5) A swastika in the hands of a white person is an automatic Neo-Nazi association. In the hands of a Tibetan / Buddhist and (properly inverted) it's a religious symbol.