Lamiastrum galeobdolon (yellow archangel), Vinca (periwinkle - comes as major = large, or minor = small), cyclamen, variegated ivies cope well with shade and don't grow as wildly as non-variegated sorts. Ferns may be able to cope - you see some self seeded on old walls, especially toughies like polypody.

Have a look at the shade plants under "S" at the bottom of the page for more ideas.

If its a fairly large area, sounds like a job for Hedera helix varieties, and/or Hypericum calycinum