I'm going with a loose definition of "relationship" here and including one-night stands. I have been with 5 females (4 black and 2 white). I have also been with 4 males (3 white and 1 hispanic).
As far as my looks, some people have told me I look good. I don't know what to think. I'm pretty skinny, not muscular at all, and a bit short. I guess I would be average or maybe slightly above.
However, I don't think I'm really representative of society at large. Generally I don't see white guys dating black girls. What happened for me is that my first girlfriend was black, so people got this idea that I'm into black women. I'm not against black women (obviously) but I'm not going to deliberately seek out a black woman. My friend hooked me up with 2 more of the black girls over the course of a few years, because she figured I was into them. So it became something like a self-fulfilling prophecy.
All of these relationships except 2 didn't last very long at all. Some not more than a day. At this point in my life, I'm honestly tired of the dating game that society has you play. I've pretty much dropped out of that game now. All of the focus on money, and vanity, and stupid pointless things that you're supposed to do... hold the door open for her, buy her dinner, all that kind of stuff. It just really bothers me.
In the past couple of years, I've become involved with a particular subculture - not hippies, but a lot of them take a similar attitude towards relationships. There's quite a bit of the "free love" thing going on there, plus polyamory, and also a large portion of them are gay or bisexual. Gender, age, economic status, race - all the things that normal society gives you a checklist for, tells you that your partner has to be within certain parameters - those things matter less to these people. It's very freeing and I no longer feel like I have to put on an act or show off in order for people to be interested in me. I've had more sex (and generally better sex) since running with these people than I did before. I'm now in a long-term relationship with a guy I met in this community, and it's only the second relationship in my life that's lasted more than a month. The last long-term relationship I had was almost 10 years ago, in high school.
What I'm doing is not for everybody, so I'm not going to suggest that you follow my example. But while answering the questions, I started thinking about this. I got tired of dealing with average people, the general public. Their expectations sickened me. Their dating game sickened me. So I dropped out of it and found something else.