A list of few plants that can produce light yield in broken dappled sunlight ā usually native understory plants: Downy Serviceberry (A. arborea) for drier spots, Allegheny Serviceberry (A. laevis) for better fruit, and Saskatoon Serviceberry (A. alnifolia) but highly susceptible to Cedar-Apple Rust, Canadian Serviceberry (A. canadensis), Black Cap Raspberry, native Gooseberry, Michigan Huckleberry, wild lowbush Blueberry, Rhubarb.
Of these, native gooseberries (Missouri Gooseberry Ribes missouriense) have been growing on my site for decades under trees in the dry sandy soil, surviving many droughts. And their big thorns protect them from deer and rabbits. Theyāre native, so the crop isnāt amazing, but itās nice having something that doesnāt need a fence.
I grow several varieties of gooseberry, currant, golden currant (Ribes aureum ), and alpine strawberry in about three hours of sun per day. I also have some of the same plants in full sun. The fullāsun berries are larger and more plentiful, and the plants reach a much larger size more quickly, but the shaded ones still produce plenty of tasty fruit.
alpine strawberry grows great in part sun in my experience. Same with lowbush blueberry. Lingonberry, i think you could swing wineberry, but check if its invasive by you (it is by me but i woudl guess not in western europe?). Black raspberry, gooseberries and jostaberry. Bunchberry? Wintergreen is a fun one too but not sure how hard it is to find.
Other edibles to consider: Rhubarb (my mom grows it under her apple trees, hazelnuts (do amazing in shade, the most of any nut)
Iāve had 3 plants Michigan Huckleberry, 5 plants Lingonberry, and 3 Highbush Blueberry for 2 years. I neglected to acidify the soil and all 11 showed almost no growth. I finally acidified the soil going into fall, so I hope to see growth next year.
The Missouri Gooseberry R. missouriense taste fine. Itās the only kind Iāve had except for a jar of something grown in Sweden I got at Ikea. When they change from green to black in August, for about 1-2 weeks they loose the tartness and taste like good fresh plums. If they hang longer, the flavor deteriorates but they stay non-tart.
I have some mystery variety thorny blackberries that seem to do better without being in the sunniest spots. They still get 6 hours sun in summer though - so not really shade but shadier.
I wrote a post about Ribes aureum. The cultivar I have is āCrandall,ā but the write up focuses on how mine grows with very little sun. I would recommend propagating it by stool layering, as Iāve read that rooting cuttings can be difficult.