This oni chick must be popular, because multiple artists have drawn her.

I think it's a parody of sorts, the original being from the 17th century. The white lady is the thunder god and the green runt the wind god. Original: http://www.kyotointernational.com/gallery.html

So are they Fuijin and Raijin? or is that something else.

The wikipedia pages for Fujin and Raijin seem to indicate that that is indeed the case.

broidix said:
The wikipedia pages for Fujin and Raijin seem to indicate that that is indeed the case.

Should they be labelled as such then?

They're stylized versions of Fuujin and Raijin

Fuujin and Raijin. yeah.

These're the versions from Muramasa: The Demon Blade.