Periwinkle (vinca minor).

But I hope you have flame throwers handy.

Give it some loose soil to root into, water to get it established, and then try to keep it from eating small children and pets.

Please, for the love of all that is holy, do not plant pachysandra, ever. At least periwinkle only spreads by runners, and it is shallow rooted.

I'm not sure why the extreme feelings about pachysandra - it is no more aggressive or potentially invasive than vinca :-) And just as easy to control the spread if attempting to encroach on areas where not wanted. It is extremely cold tolerant, evergreen and prefers a shady position, much the same as vinca and they can be used interchangeably. The harsher the zone and the growing conditions, the less likely either of these will get out of control.

It is important to remember that one of the primary functions of a groundcover is to cover real estate, so a more or less aggressively spreading habit is desirable. With any kind of groundcover, some sort of routine maintenance is going to be necessary to keep the plants restricted to their specific area - nothing is plant and forget :-) Otherwise, taller growing but more clumping forming shrubs or perennials may be appropriate.