Second is to Colin, there is no one complete invasive species list. Most of the plants that are brought into the US now aren't invasive. Scandinavian and Australian pines aren't invasive. They wouldn't take over an entire forest like say that mustard plant would. No invasive species are really used for landscaping in most common areas. If you still don't agree how would you think it should be worded to fit your ideas?
Actually there is an invasive species list put out by the EPA. It can be found
here. This is part of an invasive species site produced by the Federal Government in cooperation with state governments. A second copy of this list can be found
here. Hyacinths, certain types of roses, Australian Pines, honeysuckles, and St. Johnswart, which is used in many herbal suplements to, IIRC, help memory and energy levels. All of these are invasive species according to both lists, one of which is produced on a government website.