I'm asexual, so I don't have the whole "wanting a strong man to better my children's genes" or whatever the usual rationale is.
However, I still do want a soulmate/partner. And for whatever reason as a kid, watching and reading stories I always liked the guy characters who WEREN'T the most powerful macho-men, preferring more timid, gentle, shy male characters instead. This has continued to be a trend in the fictional people I found most interesting. (I have yet to encounter people like that in real life, however...)
Also, I'm ambitious and clash with authority. It's not so much that I need to feel control over others, but rather that I don't like to feel held back or controlled. Especially if it's over something silly like being male or female. I'd prefer to be with someone who was willing to not be in charge, who didn't think it was their birthright to be the dominant one in a relationship. It would just take any concerns about competition or power struggles out of the equation, which would definitely be a good thing.
Lastly - this might be weird, but I sort of want a partner I can look after and protect. I want to be the person for someone who can be trusted to understand, take their side and help them even when others wouldn't. Probably a more dominant guy would find this unfavorable, and would prefer I be in such a role. The kind of guy I'm imagining wouldn't find it so difficult to allow for such role reversal, and would be happy to have someone to depend on.
I get the sense from some that these preferences are seen as warped in some ways... maybe it's that most people think women who like submissive guys are dominatrixes or users. I'm convinced that neither label could apply to me. It's just that the sort of person I'm "supposed" to like, the macho badass who takes charge all the time, doesn't interest me. Guys not caught up in that seem much more cuddly anyways.