What fruit would you grow in a fruit cage?

Our 2 cages have raspberries, strawberries - both as you know will multiply and fill the space up if you let them - 2 blackberry bushes, one in each, neither very productive, a red gooseberry a green gooseberry, a blueberry (its friend died and I'm considering whether to replace it) and 2 redcurrant bushes. Quite frankly if it wasn't for P, I wouldn't bother with anything other than strawberries, autumn raspberries and perhaps blueberries. The others are too tart fresh and I don't do desserts very often.