Change your name to some exotic one, dye your hair black (if it isn't already) and use the tanning bed.
You will get in based on the affirmative action policies ("positive discrimination") that companies have atleast in the US and UK. Diversity for everyone!
Every international companies boast about their "diversity" in their recruitment page and event. Perhaps that is what HR people can do best besides blowing money on stuffs unrelated to the companies' field of expertise.
Anyway, that affirmative action (what the Americans call it) is pretty much misleading. You have to resent the local minorities, instead of foreigners. Most companies require at least permanent resident permit or citizenship to make you eligible for applying for a position. If you are a foreigner without those requirements, you have to make up exotic and bombastic stories to get accepted, and lying will get you into serious trouble, if it were discovered.
I know one girl from Nepal who got a job in Australia, just because she is from some mountainous region that will be interesting to mention in your recruitment page. She is smart and capable of course, but they have many other options, such as my Indonesian friend and a local Aussie guy, who are better (IMO) in that work and more passionate. Moreover, being a female in an organization that is big about its workers' background & composition is a surefire advantage.
Then there is this young guy from Aceh, an orphan, victim of 2004 Asian giant tsunami, the largest casualties caused by a natural disaster in recorded history. Lost all of his relatives, including all of his family, a sole survivor. Sounds intriguing, huh? He was rescued by American Aid group, awarded with scholarship, and he did study very well (the top 3 students in his university). He easily landed in Citigroup as a young executive. My friend who compete for the position said that he is a very humble and have warm personality.
The only disadvantages Caucasian people have in other countries, is mainly due to their astronomical salary rate and a little bit cultural barriers. But most of the times, they are pretty much preferred over the others in many multinational and international-going local companies. And they are much more willing to learn, communicative, and tolerate differences than other people of different ethnicity. I made a generalisation here, but this is my observation on most expats here. Of course, some are brash arrogant, but their communicativeness is invaluable IMO.
We recruited many Australians, Americans, South Africans, even a Dane here. They are capable people of course, but surely there are local people that are even better (such as foreign university graduates, or top local graduates). What we need from them is mainly their communicating skill (Asians are generally reclusive, bad at concluding a situation, and do not speak directly & meaningfully), and most of the times: their looks, it sells pretty well, especially to many local clients who have this impression that we have a global talent pool.