Growing in containers in the shade isn't typically the easiest thing to do, as fruiting plants often need more light than is available from a single direction, and shaded plants attract pests easily in my experience; also, pollinators aren't attracted to shaded plants as often.
However, you'd probably be fine with wonderberries, ground cherries (such as Aunt Molly's), alpine strawberries, shade-tolerant peppers (such as Grandpa's Home), and such. Collin Beckingham already mentioned peppers and strawberries. Note again that shaded plants can be more prone to pests (such as aphids and whiteflies). So, watch out!
You might also try parthenocarpic, gynoecious cucumbers. They don't need pollinators. I'm not sure how much light they need.
I'd honestly try West India burr gherkins instead of cucumbers, but that's me; I planted some that were fairly shaded in 2018, and I got some fruit (not nearly as much fruit as I got this year with better conditions, however, but certainly it was enough fruit for me to consider it worth planting for the first time). If you want fewer spines, there's a variety called Liso Calcutta that may be of interest. I've never had pest problems with Cucumis anguria.
Red Robin tomatoes would probably work well.
There are probably other kinds of tomatoes that might work out better for you, with bigger harvests, but I haven't studied those conditions extensively for such tomatoes. The soil you use will make a big difference. I'm not sure the ideal soil, but I've heard great success stories with Miracle Gro soil with tomatoes.
Note that these are all annuals in areas with cold winters. However, wonderberries and ground cherries can reseed easily (and they'll probably do even better after they've been growing on your land for more than a year or two). Wonderberries do resemble black nightshade (and might hybridize with it), though; so, if that grows in your area, be careful.