Well you're more likely to have a steady relationship with Thai, Vietnamese or Filipina women than Chinese and Japanese or even Korean.
Now I'm talking about mainland women, NOT Americanized Asian women, there is a real difference.
Chinese and Japanese culture have a lot of strict, for lack of a better word, protocols when dating and especially in public. It's even worse for Japanese women, it can be like a dance almost. Korean women can be very un-trusting of American men.
Thai, Viet and Pinas are far more liberal. You really need to evaluate which culture you're truly interested in then tackle it.