For part shade-shade, wild ginger may look nice, it spreads slowly, and grows more in clumps. Also, lamium may be nice for full shade too, but it spreads pretty readily so it needs room. Ajuga would work in your partial sun environment, its a cool looking plant, and it spreads pretty readily (also called bugleweed). Maybe for shade you could do some cool mosses too.

Thank you! They are all lovely!

Pachysandra, ajuga, vinca minor, chrysogonum virginianum.

Thank you!