She has had every opportunity, dance, gymnastics, netball, sailing, horse riding, trampolining, various music lessons. I cannot get her to stick at anything at all.
Oh, that must be frustrating. As someone who was brought up doing loads of stuff, which has given me skills and past times for the rest of my life, it's a pity. I get how frustrating that must be for you.
I'm wondering a few things - some questions which you don't need to answer, but just trying to unpick what it is that you're actually disappointed about:
is it that she's an academically able pupil, who does well, but is not "rewarded" for it by the school?
is it that you feel other children are rewarded for doing what she already does, and that this is unfair?
is it that you would like a "high achieving" child? (I wonder if this is a social class thing?)
what is your family culture? Does she see you, her father, any siblings going out & doing things? Guides, Scouts, extra-curricular sport, drama, art classes etc etc
could you as a family, get involved in something? (eg My father was a naval man, and as a family, we sailed - both yachting holidays, and weekend racing/recreational sailing).
Anyway, some things to think about.