So it is a shady wet area?
I have a similar area under the eaves of my shed where it is shady and wet from runoff from the roof.
1 plant that thrives for me there is persicaria odorata or Vietnamese coriander. It loves the wetness and shade. An annual unfortunately but have not found any other plant that does as well there. I also have some ferns there, a sedge, monarda, Laurel, and sweet flag grass.