I was about to point it out, but I saw your comment. That's the biggest stereotype for sure, but there are other ones that may or may not have something to do with gender stereotypes.

Asian skin color is very sensitive to the sun and changes much more drastically. You can even tell how often someone is inside/outside by looking at their skin. Tan is not necessary associated with poverty and peasantry, but it can also be a sign of physical strength. But then there are gender stereotypes that cause female physical strength to be received with indifference or even stigma and associate dark skin with inability to take care of one's own look, especially among women.