I think the best thing a young girl/woman (meaning from Jr high thru college) can do is cross train. I played basketball, football, softball , had some martial arts training and ran track. I lifted weights but not REAL heavy ones and I never had a serious injury. I had fingers broke and dislocated plus sprained ankles and sprained wrists but I didnt miss much playing time and I believe thats due to cross training. You have to take a break every now and then but not for long. Off season should be used to get away from basketball but still work on speed and agility.
I agree with this, and I'd take it a step further. People weren't built to do the same thing over and over. I had a friend years ago, quite a bit older than me, who pointed out that baseball and football scouts used to just wander through farm country looking for strong kids on farms, and the professional athletes always worked in the offseason. Working on farms, on delivery trucks, at the docks, etc., built natural muscles. (This was the friend who introduced me to women's basketball, so I'm forever grateful to him.)
Like Blond D, I did all sorts of sports when I was younger. Shoulders were my weak spot, so I had to give up pretty much everything -- volleyball, basketball, hand/racquetball, all hard on the shoulders, and football, baseball/softball all may involve sudden shoulder motions. I never injured anything else till I had to keep it pretty much to running. My knees started getting balky and I was in and out of PT for a decade or more. Then I started mixing in more cycling. I was able to stretch out my runs and finished my first marathon at 48. Knees started getting balky again several months ago, and I now have arthritis. I noticed they were worst after cycling, and I cut that out. Knees are 90% better now. So even for one person, the same solution may not work over time. I've gotten a rowing machine now, which has helped immensely. No more marathons, but I'm hoping to keep doing halfs for awhile.