Yep... here's another one.
I'm 33 now... I've been gaming since I was 10. I started "exploring" when I was 11 and started coming out as gay at 17. Now that the stage is set...
First to answer the original question... if my sexuality has in any way influenced my gaming (and thus my membership in a different minority) it's in two ways:
One - I don't tend to play gay characters. I think the years of assuming I was straight simply because I hadn't stopped to figure things out followed by several years understanding I was gay but not being out about it made it a bit more "mainstream" to play a straight character. My last 6 characters have been (most recent first) a straight drow assassin (he's a predesigned character so don't shoot me please), a neuter tremen druid/fighter, a straight male lizardfolk shaman, a neuter modron mage, a straight female druid/monk, and a straight arabic dwarven mage. As you see, I have a few asexual characters but the rest are straight.
Two - Our gaming group meets in my home. My other half and I started the group with some gay friends almost 5 years ago. One of them had to quit due to medical problems and another because he and his partner moved away. We added a straight couple who had been friends of mine and a straight (although into B&D/S&M/Leather) male friend of theirs. When their friend left the group due to lack of available time, we put out the word we were looking for new players on the WOTC web site forums. As part of the posting, we explained that we are a gay couple and the group meets in our home. No, we aren't going to molest, convert, or in other ways hassle any one but prospective gamers had to understand that they'd be coming to our home and that is one place we don't take attitude and certainly not insults. We added 4 players from that posting and all of them have stayed with the group now for over a year. We also have two new players who are both gay although only one plays regularly.
The group has been as cool as I could ever imagine. In our main campaign, one of the straight guys plays a bard who "boinks" anything with two legs and we're not sure if that's a limitation or just a matter of lack of opportunity. In a previous campaign, one guy played a character with a fetish for non-humans and the more non-human the better. Generally sex doesn't come up much in the game but if it does, it's not an issue to sweat over. We're all friends and spend at least 40% of the time teasing each other and having fun. Reminiscing over past encounters in-game and especially those memorable bad die rolls.
Though I didn't mean to get so long-winded, my point was generally that we have to take a bit more care about who we play with just to make sure that the sessions remain fun and that we're not getting lectured and/or insulted in our own home. And as for myself, I've spent so much time in my life just trying to blend in, that I don't tend to play characters who are strongly noticible in the area that I qualify as a minority. I've played just about every bizarre race, class, background, and what-have-you, but my own minority doesn't seem to come up. I guess I'm somewhat concerned... possibly even afraid... about putting it that much in the faces of folks I consider friends. I guess I'm not as "out" as I thought I was.
Mr. Night, Saoghail, Asathas, Nordom, Niolo, and damn if I can't remember the name of that dwarf... or you could just call me Adam.