The New England Wild Flower Society puts out an excellent three-fold brochure on invasive plants common to this region.  They list species and provide some background on why you should care:

Some non-native plant species become “overachievers,” thriving in their new habitats without the insects and diseases that would normally control their growth.  Once established in natural areas, they outcompete native species and become a major threat to native habitats. Some invasive plants have escaped from our home gardens and public plantings into natural areas and cause profound environmental and economic damage.  Each state has developed a list of problematic plants.  [Ed.:  See MA’s list of  invasives and potential invasives here.]  Some are even illegal to sell. Please learn about the species considered invasive in your area, generate a list of the invasives on your property, and create a plan for eliminating them.