Both want and seek exactly the same thing.The love of their life and all it entails.Love,honesty,companionship,friendship and respect.Someone to fill your world each day,to share your good times and bad times with and to love ABUNDANTLY.Someone that will put a smile on your face and help keep the tears away.
To make a major generalisation in regards to our current [western] culture, I believe men and women have a few reasons for wanting relationships, whether this be in the form of long-term or short-term. They boil down to affection/s.e.x/companionship/and family. The s.e.x component is self-explanatory, but it is widely acknowledged that there are many alterior motives to the deed. My view of the companionship is it's a more intimate friendship that encompasses discussions of less interesting and mundane occurrences during the lifetime than what you might ordinarily discuss with normal friends, plus informing their partner of personal points of pride and emotional distresses: a relationship that is a cross between normal friendship, and [idealistic] family relationships. The family component is attribute that many people have, and most people either desire for a family, or don't. Fairly black and white. The affection could be purely for the desire for physical contact in a caring manner, but could also encompass an ego thing with many people also, such as the ego boost and excitement one gets from getting with someone they think is of a high calibre.
People want to be surrounded by those that have similar values. They wAnt partners whose attitude & goals will coincide with their own & want someone who will be their rock & soft place to land. Many will settle for less than head over heels love rather than wait only to find they have been left behind & all the good ones are taken. A small percentage will find truelove & cherish it nurturing it to become a lifelong happy partnership, many will attemp it a second time thinking they have got it right this time only to find they haven't. A small percentage will find lasting happiness 2nd time round & a certain ammount will choose to happily create a life without a spouse. A certain amount will try time & time again without success for the rest of their lives. Most of us fit into one of these catorgries or a combination of two combined. It's a journey we all embark on & hope our intuition finds us settled & happy for a large chunk of our lifetime.
Lust and sex mainly now it seems, but that's some. Me however would want a man that'll treat me right, hold me tight, get me to smile, get me to laugh, listen to me, wipe away my tears, respect me, love me, and not hit or beat on me. And most importantly of all I'd want them to be themselves instead of acting like somebody they weren't and aren't. Love me for who I am and of course I'd love them for who they are and hopefully stay together forever considering we had same interests, likes, and dislikes....