Look for part sun plants or shade plants. Perennials – Black eyed susans, echinacea, daylilies and poppies come to mind – they are all pretty easy to grow in various conditions as long as they get some sun. Hostas are also an option, and shrubs – look for weigelia and spirea – also very easy to grow. Azalea is an option, too. Climbing flowers – or vining flowers – morning glories, an annual, are easy, and my favorite is nasturtiums – they aren’t really a climbing flower, they are more of a cascading flower. Also an annual.
All of these plants do very well in various locations in my yard, and I live in upstate NY – zone 5. Ensure that you boost your soil before planting – add some compost (you can purchase bags) and I like to add a bag of top soil. Mix it all up good, and you should be in good shape.
Please accept my apologies if I spelled some of the plants wrong. Good luck!