Ladies, What do you look for?

Less Freud. More Maslow. Admittedly, Maslow had his shortcomings, too, but he was a real mensch from the sound of his diaries.
Freud died 19 years after women received the right to vote. The Zeitgeist was much different back then, and he was trapped in that Zeitgeist as much as anyone else. For example:
http://www.pbs.org/youngdrfreud/pages/perspectives_women.htm

Listen to the commenters telling you to look at the individual. Don't generalize. Don't pigeonhole. You wouldn't want someone to do that to you.

Figure out what YOU want. What type of person would be simpatico with you? That will allow you to be yourself, because being yourself in a relationship is what matters.
You want someone who will accept you despite (and because of) your warts. That way, you don't have to hide them.
You want someone whose warts you can accept, yourself. That frees the other person to be herself.
That means compromise. Over time, you will learn what and how much you are willing to compromise, to make a relationship work. That also means mutual respect.

Mutual respect also matters. Often it is the bottom line in a relationship.

You will need that flexibility if you're looking for something long-term. Because Life happens.
Life and relationships demand that you be resilient. Flexibility and your ability to bounce back will aid your resilience.

Also, people change. Some relationships can keep up with the changes; some can't.
Each relationship will give you valuable tools for the next one.
Nothing remains static. Each day is a learning experience. Be open to that.
Bonus points for relationships in which the partners challenge each other to evolve, whether or not that was their intent.

Listen to the other person, the way Carl Rogers would.
(Also, the way Mr. Rogers would.)
Be honest with your emotions, too, as though you were sitting in the other chair.
Be gentle with yourself, so that you can be gentle with others.

Keep it real.

Confidence that's not arrogance, like he knows he's good but he doesn't think he's better. Funny. Not judgmental. No sexist bull**** (ie he doesn't believe the friendzone exists, he doesn't use the world slut, treats me and other women with respect and doesn't expect women to fit certain gender roles). Annnnnd someone that shares my interests, ofc.

I look for other women.