I hope I will be able to expand the above list in the future, I plan on getting my hands on some information of that sort, but it might take a bit.
As far as mapping gender to type goes, the ENTP forum has something of a thread on that:
http://personalitycafe.com/entp-forum-visionaries/28655-masculine-feminine-type-gender.html
Among other things, a statistic is included, which shows the frequency of the different types, differentiating between male/female:
Frequency of Personality Types by Population & Gender
I am going to go ahead and pretty much duplicate a post that I made in that thread that deals with type and gender stereotype - I see things slighty differently than skycloud86 in this respect:
I must mention that I think this analysis is of limited use and there are a truckload of phenomena that cannot or can hardly be explained with typology. One should be careful in trying to map the various non-typological characteristics that we humans have, to type. But heck, we're in a typology forum, so let's check it out, if nothing else, then for giggles.
I personally like Keirsey's preferences, in addition to the MBTI ones.
The utilitarian/cooperative axis doesn't seem to have much to do with gender stereotype, but the informing/directing one does. I would say directing is stereotypically male, informing stereotypically female. The directing types are the STs and NJs, the informing ones the SFs and NPs. Though I would say that the NFJs are directing in a pretty specific, spiritual/emotional guidance sort of way, so that's not so stereotypically masculine. Something like "In order to be happy, you have to do this."
Apart from that, extraversion and thinking (which Keirsey calls "tough-mindedness") seem "male".
As directing is therefore "masculine", that might explain why one is tempted to deem iNtuition as "feminine" - because the NFJs are directing in an un-male-stereotypical sort of way.
ESTJ, ESTP and ENTJ would be the only types with "all male" preferences, and ISFJ, INFP and ISFP the only ones with "all-female" preferences (though the INFJs would come pretty close).
So that would mean for example that, in terms of average stereotypical masculinity of certain types,
ESTJ > ISTP > INFJ > ISFJ,
ESTP > ENFJ > INTP > ISFP,
ENTJ > ENTP > ESFJ > INFP
This is without attempting to put these three "male" typollogical features in order of "masculinity", i.e. directing > thinking > extraversion.
But then people like Joe Butt come along and say stuff like "ESFJs tend to enact gender roles a lot, hence male ESFJs will act very masculine, and female ESFJs will act very feminine".
So, my best attempt at mapping typology to gender stereotypes is probably futile. I guess I wouldn't have it any other way.