People keep making up a whole lot of bullshyt about Japanese culture without actually knowing anything about it. In history the view of a "beautiful" woman in Japan has been a youthful smooth skin. Since sunlight affects the skin, to maintain their beauty women would avoid sunlight and remain
pale. As such pale, white skin became synonymous with beauty, which goes further if you look at the traditional geisha wearing completely white make-up and always carried an umbrella with them.
This is why even today pale, whitish skin is seen as a sign of beauty, not some nationwide obsession to be like white people.
The traditional character design of manga/anime characters all derives from the OG, Astro Boy, whose design was inspired by Donald Duck cartoons where characters had big eyes and other facial features (nose, mouth) were generally smaller. Astro Boy was so popular that this design style (big eyes, small noses and mouths) made its way into other manga more and more and eventually it evolved into the traditional design we all know, often with very uncharacteristic eye and hair color for aesthetic purposes as to separate characters (not just within a manga/anime, but also with characters from other manga/anime).
See, looking at the last picture you could argue that having blue eyes is something white people have, so the character must be white, right? Except if you look again you might also notice he also has blue hair that match his eyes, and nobody in the whole fukking world has natural blue hair. That's because of
aesthetics. Look at the female characters from the same show:
Three girls with purple hair, two of them having very unnatural purple eyes, and then there's also a silver haired girl for good measure. Ain't that something? You know why they have those hair and eye colors? fukking aesthetics.
Aesthetics is why Roronoa Zoro has green hair to match the green in his outfit.
And it's aesthetics which is why Moko Kusanagi has purple hair, while the character design is based on the traditional anime look which has nothing to do with making the characters look white, but everything with that look being the most prevalent look in anime/manga and widely seen as the only
marketable "mainstream" look. Which is the real reason why nearly every mangaka draws in that style.