Ok so I have had a magazine habit since I was a teen. I actually worked at a convenience store that used to let me take home bags of magazines without covers when I was in college and it was the best job perk ever for me at the time.
At lot of magazines I read went under like teenpeople, ym, seventeen (maybe still around), and teen vogue was very boring to me. I even liked Lucky but that one died out.
I think most teen mags have folded as teens go straight to womens. That being said I work in fashion and I found Vogue dull and Elle is younger but the articles are too based on sex/dating (the reason I stopped getting that one, I could only read so much about women discovering themselves by discovering men). Marie Claire is great as they focus on more world women's issues and career advice so I think right now it is one of the better fashion mags out there. Yes there will be articles about S-E-X so that is up to you to decide if it is too much for your daughter based on her maturity and exposure to those things (I feel like their articles are more about access to birth control and fact based topics than racy memoires but then again you would have to check as all these magazines blur together in my head). InStyle is essentially a picture book, nice to flip through but can get way boring so safe but not too enthralling after a while. If she is into makeup then Allure will be a nice mixture of InStyle photos with a few articles.
If she is crafty I would actually suggest Martha Stewart, I have always loved her magazine and she is one classy lady so you won't have to worry about anything spicy or controversial coming up. Bon Appetit or Food & Wine might open her up to new recipes and cuisines. There is also the Food Network Mag which has more mainstream recipes.