I guess I just try not to let the bad stop me from seeing the good in people in general, the reason I favor men might be those same reasons you mentioned you enjoy spending time with them and also that women have not been that nice to me (teenage years were awful due jealous/competitive women and I wasn't even interested in dating!) but at the same time I respect the women in my family so much that I just can't ignore their good side and my own as well as making me aware of my flaws... which brings me back to appreciating men since for the life of me I don't know how you guys can deal with us!
About specific men, yes there is plenty around that I care for and admire from all ages, my father is one of the most responsible men I know, his father who was very strict but always fair and even though he became a widower at a young age he never re-married, had a girlfriend here and there but always very discrete and never brought a woman home or let them meet the kids, I am convinced he loved his wife until his last breath. Then I have my grandfather on mother's side... haha, so different! more of living in the moment, on his last years his favorite thing to do was to brag about how many grand/great-grand children he had, listening to loud music, admiring women, flirting with them and then get all romantic and proclaiming his love for my grandmother.
I already talked about my 2 best friends, actually the father of one of them would also come to mind, he must be one of the smartest men I know, highly educated though you would probably never guess it until you talk to him, very simple man, I could go on and on, taking into account I have not really dated that much or had a very bad experiences, even if I have had a bit of heartache looking back I still find it easier to trust more in men than women.
For the most part the women I admire are older with grandchildren, I don't know if it's a generation kind of thing or that they became wise with age but sometimes I will come across a young one here and there that makes me think wow, there is a diamond righ there. I think the biggest problem in my country is that they go to extremes, they are either so self-sacrificing that they make themselves martyrs (this does not make them bad women just not very smart IMHO) or they just go through life without really using their heads at all.