If you are going for a slightly woodsy feelilng, Sweet Woodruff (Gallium odoratum) is nice. Small white flowers in the spring, and foliage that can be dried and used in pot pourri. It grows quickly, and does very well as an underplanting. Like the other plants, you'll probably want to control its spread.
Violets can be pretty, but might not be what you're looking for if an ivy bed is the "look" you are going for. Once again, watch the spreading, which is done through popping seed heads, which can be harder to control than other plants.
Around here, Bishop's Weed (Aegopodium podagraria) is a good grower also.
If you're willing to plant every year, an expansive bed of impatiens is really pretty, flowers all season, rather than just the spring. We had a conversation on that recently. I've never been able to get it come back, and have to replant every year, but the effect is worth it. I normally put little plants between my flowering bulbs in the spring. By the time the bulbs have died back, the impatiens are filling in. Then the impatiens die off, and do not hinder the bulbs..