Re: Men: Do you like when a woman initiates contact?
I used dating sites. After unsuccessfully trying to initiate contact (it never worked out for whatever reason, despite apparently being ideal matches and fitting all their stated criteria), I made sure my profile was good and then let women initiate contact.
That worked very well. Of course, many such contacts went nowhere beyond a few emails. Every one I eventually met/dated had first shown some interest in me, including my wife.
So, yes, I liked it when women initiated, and I respect them for not being passive in the dating process.