The editors of the various categories are listed at the very bottom of the corresponding DMOZ pages. Look at the bottom of the pages as you descend the trees. At the lowest levels you will see many categories asking for an editor to volunteer for that section. Those categories can be very dead areas as far as getting new listings, because nobody is minding the store. You have to ask a higher level category editor about those areas, and you may or may not get a response.
What I try to do is to choose some category that has a live listed editor to include my website. If there just isn't any compatible category with a live editor, you are probably in for a very long wait, so be somewhat creative.
I have contacted editors successfully before, but you have to be very, very nice. Extra nice. Like you are visiting the Pope asking for a favor. You also have to wait a decent interval, like months, before you go prodding them. Dmoz is very clubby, arbitrary, and everyone knows how valuable a listing is to gaining a sites SEO reputation, so they tend to be very choosy. I'd venture to say that 95% of sites or more are never going to be accepted by these editors, because they don't meet dmoz standards.
Here are the guidelines for what dmoz editors are to include and not include:
Code:
http://www.dmoz.org/guidelines/include.html
You will note that they do not include affiliate sites as well as a host of other things we might do here, like cloaking. You will be also be surprised to realize that your adult site might be a candidate for inclusion.
Their forum is also instructive:
Code:
http://www.resource-zone.com/forum/