Myrciaria glazioviana (quite different to regular jab) is supposed to fruit better in part-shade than full sun. It is said to be very ornamental, doesn't fruit on trunk, likes acidic soil and prunable to shape.
https://www.youtube.com/watch?v=acWKVttEQ5YAsimina tribola fruits well in shade but requires moist soil and tree shape may not suit you.
Davidson Plum requires shade until it grows big and then can tolerate a lot of sun. Fruit is very sour (loved by some) but those who don't can make a lot of jam with it. Tall and thin tree, the species davisonia jersyana is shorter than davidsonia pruriens.
https://www.youtube.com/watch?v=wt-j_mQkQy8Australian finger lime prefers part shade. Most species are however thorny, but the fruits are a real treat with high culinary value.