On the shade side of my place I have moss that looks great! I pull weeds when I get motivated or just mow like usual. It's so thin it's not a choir there. I think you could collect some and transplant if kept moist and replanted immediately. Just make sure you have fresh rich soil ready to go and no traffic. Well established will tolerate little traffic but not from kids or dogs. It's delicate.
So are ferns. Ferns thrive in one shady corner and are a native variety that winters well. If you do your homework and prep right, soil quality, pH, etc, it will look very good and low maintenance.
I will suggest you to choose shade-tolerant grass varieties, such as fescue or bluegrass, which can thrive in low-light conditions. Another option is to plant a ground cover, such as pachysandra or vinca, which can tolerate shade and help to prevent erosion. You can also consider adding mulch or compost to the area to improve the soil quality and retain moisture.