Lingonberries (Vaccinium vitis-idaea), produce small, tart red berries used for jams, syrups and wine. They are low-growing evergreen plants with small, green boxwood-type leaves that prefer bright shade over direct sun. Slowly spreading by underground rhizomes, they make a good evergreen ground cover.
Native to North America, huckleberries grow in sun or shade. The evergreen huckleberry (Vaccinium ovatum) is native to the West Coast and produces better-tasting fruit in shade than sun, although it will grow in both. In sun, it stays compact, to less than 3 feet tall; in shade it stretches to 6 or 7 feet. Huckleberries are a traditional food for Native Americans as well as a favorite of bears.
Blackberries aren't fussy about soil or light conditions and will produce berries in bright shade. They yield more and bigger berries in direct sun. Train the bushes on a strong trellis as they are vigorous growers.
Closely related, native currants (Ribes sativum) and gooseberries (Ribes hirtellum) will tolerate shade. Their crops will be better the more sun they get, but they will produce fruit in a bright area even if it doesn't receive direct sunlight.
The native Juneberry or serviceberry (Amelanchier) is a large shrub or tree that grows about 12 feet tall. It produces clusters of tasty dark purple berries in June. It will grow in sun or shade and is a favorite of birds and squirrels, who are likely to get the fruit before you do because they don't wait for it to ripen.