The National Wildlife Federation and eNature recently debuted their Native Gardening and Invasive Plants Guide. In it, you'll not only find lists of known and potential invasive plants in your state, but also lists of native species you might find to be better alternatives for your own garden. The listmakers have apparently erred on the side of caution, as there are a few species on the Massachusetts list that are either not likely to be planted (dodder? perennial pepperweed?) or to be invasive here (melaleuca?), but this is nonetheless a great resource.
Thanks to a member of the ALIENS-L listserver for posting a link to the story.