I'm just going to come straight out with it, this "men like sex, women like attention" stuff is absolute bollocks. I think it's false, sweeping generalisations like this which give people deluded preconceptions when it comes to relationships.
If you listen to your average girl having a "private" conversation with her girlfriends, you'll notice that the topics that come up are just as dirty (if not more so!) than the sort of things you can overhear groups of guys saying.
Both men and women are biologically geared to participate in and enjoy sex. There is no gender issue with regards to "who likes it more" - that just seems to be a huge urban myth spouted by tabloids in an effort to sell more crappy papers.
That's coupled with some good ol' fashioned traditionalist BS that goes back to the Victorian days, where men were seen as dashing rogues and women were perceived as blushing maidens. Rubbish!
Men also like emotional investment and attention: I personally like the idea of receiving attention from a girl far more than just the thought of sex. I'd go as far as to say I don't feel comfortable or ready for a sexual relationship, I just want to feel like I'm close to a girl and of emotional value to her.
I think if you speak to the majority of mature, sensible men (both those who are lonely and those who aren't), you'll find that intelligent conversation, humour, having someone to share hobbies and cuddles with and so on ranks far more importantly in a relationship than just having an emotionless but attractive person they can sleep with constantly.