I'm an asexual female in my mid-20s. Never had sex. Doesn't appeal to me, and I don't have a particularly strong sense of attraction to either sex (beyond what some may call a "squish"). Had bloodwork and nothing is wrong with ol' hormones, so...yep. I'm just not into the whole sex thing and I don't have attraction to anyone.
I've never heard of any systematic "oppression" towards asexuals, especially not at the level of persecution the homosexuals and transsexuals face. I know my parents would rather me be a lesbian than an asexual, but I'm not fearing a legally-binding arranged marriage or being evicted. Might be more of an awareness issue. Most of what I get is the "you haven't found the right person yet", "you're going to die alone", "you'll never know the joy of being with someone you truly care about", "you're just sad because people think you're ugly", "asexuality is stupid! You must be sick or hormonally unbalanced" etc. Obnoxious and sometimes hurtful, but far from a lynching. I know on the religion front I've never heard of people actively caring if people have sex or not, mostly because we're not doing anything to outright anger them (are there any Bible verses that condemn asexuality? I've never heard of any). Sure Christianity (among other religions) praise married sex for procreation, but many religious folk are choose to be celibate, or view it at "self control". And besides, they would rather people have no sex at all than have sex while unmarried and/or with someone of the same sex. Atheists I know are condemned far more than asexuals (though again, not as badly as gay or trans people), but a lack or attacking of belief is considered a greater threat than lacking sexuality.
Oddly enough, I've had gay and bi people say asexuality didn't exist. In that same breath, people in that group complained when people said their sexuality didn't exist. Just thought I would like to share that tidbit.