it just depends on what you're looking for. white binders are the most versatile since you can wear them under a white shirt or t-shirt, where a black binder would look awkward. on the other hand when the collar of your white binder shows it may not look super sexy (wife-beater effect). and also, as it gets older, a white binder may not look as pretty due to discolorations.....you don't wanna bleach your binder...
black binders look brand new for a really long time ...i bought a black binder and a white binder last year, the white one looks okay but on the gray side of white, and i'm glad i don't sweat much or else it would probably look quite nasty. the black binder still looks jet black.
I use a black binder underneath a surf shirt for swimming. The surf shirt is black as well so that way it doesn't show.
none of my binders were ever seen-through, if you mean by that that you can see your body underneath. no matter what color. you would have to choose one that's single front in order to run a risk of it being seen through, i guess.
so yeah, if you're planning to only buy one binder, you'll have to get a white one, or else you won't be able to wear just one light colored layer on top of it.
