You don't want know how many series I watched in just last year then. Hell I don't think even I want to know. 
Thinking about it, there could be an even simpler explanation. Manga is printed in black and white, with nothing to differentiate any color aside from the shades of gray. Anime got it's origins from manga so maybe the white looking characters is a way of preserving that tradition.
It wouldn't be the only carry over from manga either. It's also why characters have eternally messed up static hairstyles. It's to help the reader tell who is who without color. Similarly, in anime the odd hair colors is sort of carry over from that as well.
On the opposite end of the spectrum you have character designs for shows like Black Lagoon, Death Note, and Patlabor for instance though which portray Asians and other races more realistically. Coincidentially or unoincidentially, all 3 of those are from Madhouse Studios.

I guess that might explain the faces... but then there are the blond hair and other features that are pretty much synonymous with "white".
Thinking about it, there could be an even simpler explanation. Manga is printed in black and white, with nothing to differentiate any color aside from the shades of gray. Anime got it's origins from manga so maybe the white looking characters is a way of preserving that tradition.
It wouldn't be the only carry over from manga either. It's also why characters have eternally messed up static hairstyles. It's to help the reader tell who is who without color. Similarly, in anime the odd hair colors is sort of carry over from that as well.
On the opposite end of the spectrum you have character designs for shows like Black Lagoon, Death Note, and Patlabor for instance though which portray Asians and other races more realistically. Coincidentially or unoincidentially, all 3 of those are from Madhouse Studios.