clethra, witchhazel, dogwood come to mind quickly as classic moist tolerant shrubs. also good for part-shade. Is your area sun or shade?

I hope you don't mean evergreen? That gets a little tougher. Hollies and yews seem pretty tolerant of a wide range of soil types, but standing water would still be risky.

Also Itea virginica, Virginia Sweetspire, might be OK.

Claire

Ilex verticillata, Winterberry Holly, is found growing in wet boggy areas and as Wendy mentioned Clethra would be a good choice.
How much light does this area get? If it is full sun you might consider some of the hardy hibiscus shrubs as they tolerate wet feet.

Swamp azalea/Rhododendron viscosum is one of the few rhodies that is happy with wet feet. It has pink or white flowers with a lovely scent. It isn't evergreen. High bush blueberries tolerate wet feet.