Euphorbia robbiae will grow in dense dry shade and spreads well after its established.

there are several you could try:
Pachysandra, [an all green and a variegated one] Pachyphragma both species are evergreen with white flowers.
Vinca [periwinkles] in a variety of flower colours from white, blue and purple and variegated leaves in a couple of sizes.

I have all of these growing under a large yew and a beech hedge.

Other good ground cover plants in my experience include ajuga, mitella and lamium.

welcome to GoY too.