Mostly the importance of getting skin with a rich undertone and using warm colors for shading. I feel like sometimes I see characters with dark skin who look washed out or they have zombie skin.
Here is an example of how using grey to shade dark skin can look bad.

Here is another issue that might pop up. You can tell that they only set up lighting for people with white skin, which leads with the black kid looking washed out and too dark. Usually in cases like this, you need to focus on highlights.

If you want a good understanding of this, I recommend looking up makeup contour. You will see that people with darker skin focus more on the highlights. While people with lighter skin focus more on the shadows.