When you first start, there's only 2 black "Heads and Bodies." Not to mention they're both men. So you can't even make a Black Woman.
I don't see why you shouldn't be able to change the "skin color" of the lego figs, or at least switch out the hands to make them Black, Yellow, or White. Instead the skin color is locked to the clothing item.
I'm on the 3rd vehicle and still have not come across any solutions. I don't want my character looking exactly like Mothership Q all the time. When I saw all the original RB characters remade in Lego form, I was pretty excited to recreate my band in Lego form. But now it's not possible because of the weird way the character creator/rock shop is set up.
This is a big disappointment. TT games fix this pl0x.