Japanese spurge — pachysandra terminalis — is ubiquitous in American gardens as a groundcover. It's an aggressive spreader but is grown for its attractive shiny leaves. But I think the native version is even prettier. Allegheny spurge — pachysandra procumbens — is a slower spreader, or at least that's been my experience. I have a patch of it growing near a down spout where it seems to flower more prolifically than the nearby clumps in drier soil.
But it has gorgeous mottled leaves that have an almost tortoise shell look to them, no matter the location. These are the old leaves from last year and this is how they look after being covered with snow and going through cold temps. New leaves will appear soon but with less dramatic markings. If you've been thinking about using spurge as a groundcover, go native!