Can you recognize these vegetation?
Yeah, moss and weeds (and perhaps lichen in the third picture). This is probably the side of the house where the sun doesn't shine and the wind doesn't blow, right? So things tend to stay damp which is the environment that mosses and lichens like. I'd maybe check that you don't have a leaking pipe nearby and check your gutters above that area to see if they're clogged just to see if you can dry up that area, but there may not be a whole lot you can do.
The moss isn't hurting anything other than the eyes. I'd rake out all the moss and debris as best as you can and see if you can't open up the plantings a bit to let air get through that area. You might consider some stone mulch in that area, as anything wood-based will turn into a mushroom factory.