Hi!
There are actually many options you can try depending on your location and the climate you live in. There are many shrubs that don't require full sun and will grow perfectly in these conditions. You can also try planting evergreens, they thrive in all kinds of temperatures and require very little maintenance. I live in Australia, and here many homeowners plant dwarf trees in their backyards, because they also require a small amount of sun. Maple, alder, redbud, dogwood, magnolias and many other similar trees prefer shade to sun, so you can check those out too.