Teenagers / Classic Cars ??
I'm 21, And I got my first car, a 72 dart, when I was only 17, fixed it, drove it, no accidents, no tickets, for three years. My best friend (who inspired me to get the dart) also got a built 350 chevelle when he was only 16, and drove it for even longer.
I will admit, older cars like these are for car enthusiasts more than the general public. If your daughter isn't into cars, doesn't like working on them, or is just interested in having an older car because it's cool, she probably shouldn't have one. But if she knows how they work, works on 'em, there's no reason she shouldn't drive one.
Funny story: I took my driver's test for my unrestricted license in my dart. When the instructor sat in the car, she couldn't figure out how to hook up the seatbelts. (It had the lap belt with the detachable shoulder belt.) Once she got that sorted out, We talked about the car a bit, and she noticed it didn't have a passenger mirror, then I told her it didn't have power brakes, power steering, or a rear defroster either. The look on her face was priceless. (I passed anyways.)