Vinca. Give it about a year to get established and the next year it will take off.

Do NOT plant violets if you don't want them in your lawn, garden, under the shed, crawlspace... okay, maybe not the crawlspace.

Partridge berry maybe?

a couple that do well for me in similar conditons are strawberry begonia and asarums and hexastylis, especially h. splendens (chinese showy ginger).
the strawberry begonia is neither a strawberry nor a begonia but is saxifraga stolonifera. it is just beginning to flower at my house and the flowers are a nice addition to the pretty foliage.
for what it's worth, i am still eradicating vinca in my woods after planting it many years ago (if nicole and i are thinking of the same plants, the perennial vinca major and minor).
i regret the day i dug a piece and introduced it to my garden.
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hexastylis splendens
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you can see some of the strawberry begonia at the base of the concrete planter in this photo.

Hmm. It's more behaved here. The problem in my woods is someone's old English Ivy. Grrr!