I'd like to try and offer some help...
First of all, breaking the ice with any woman, regardless of race, depends on the situation. So there's no standard answers here.
However, I've been with all different races myself. Here's some GENERAL thoughts that I can offer you:
It's ALWAYS good to have some knowledge about the other person's culture. The culture's nuances, music, food, etc. Basically, you have to "go to her." This not only makes the female more comfortable, but it helps make you a more well-rounded and interesting person.
NOW, Here's what I know...
If you are a Black male interested in Asian females...
...your BEST bet is going to be with Philipinas. Most Philipinos, being a marginalized ethnicity in the USA, in general "choose sides." By this I mean that they either identify with "White" American culture OR "Black" American culture. This is in contrast to most other Asian ethnicities in the USA who tend to gravitate towards "white" American culture. Philipinos in general are very cool people.
...your second best bet among the Asian population is with Koreans, who tend to have more exposure to Black Americans than other Asians in the USA. It doesn't mean they will be attracted to you, but at least Blacks aren't "foreign" to them. They MAY identify with Blacks somewhat only because their ethnicity is the most derided among other Asians.
...your third best bet would be with "trendy" Japanese girls. DEPENDING on what your social scene is, there are plenty of Japanese nationals who are interested in "Black" American culture. This is a niche market, and you aren't part of this "scene" you may encounter difficulty.
...another option is East Indian females. Like the Philipinas, they also tend to "choose sides" as far as who they hang with. There are many people of East Indian origin who migrated to the Carribean, so they are familiar with Blacks and may share common Carribean culture. Particularly the darker skinned ones. Regardless of YOUR race, I've found that East Indian females are most receptive when you've displayed even as much as a superficial knowledge of their culture. Most Americans don't know SH1T about their culture, so expressing some basic knowledge usually impresses them.
Now as far as the LATINAS...
...Damn. I love the latinas. I have a soft spot (actually, a hard spot) for them.
First of all, don't call them "Hispanics." Among Latins, that term tends to denote someone as being a Eurocentric Sell-out. It's the equivalent of calling a Black person a "Negro." Call them "Latinas."
Secondly, Latins tend to date other Latins mostly. If they have more European features they might date White Americans, but in my experience most of those who date non-Latins will gravitate towards Blacks.
Thirdly, Latin culture is VERY macho. Latin woman are very faithfull to their men, but you have to play them right in order to get them.
Now, as a Black male, you'll be most successful with...
...Dominicans and Puerto Ricans, since they tend to live in the same areas as Blacks, and also are darker skinned and may actually be Black themselves--or at least have someone in their family who has more pronounced African features.
...Brazilians also share an African ancestry, and are somewhat less color concious than other latins. They are also very fun, warm people. Brazilians are the BEST, but their presence in the USA is relatively small.
...Cubans are difficult. Mostly because the ones who migrated to the USA since the 1960's were mostly the affluent, lighter abd fair-skinned ones who have an unspoken color caste-system.
...Mexicans are also a bit problematic. They are the most prominent of America's Latino population, and tend to date within their group exclusively. They also tend to not like Blacks since their is often competition between them and Blacks for neighborhoods. BUT there are plenty of Mexicanas that will date Black men. Usually if they've gone to school with Blacks.
Go get 'em. tiger.