Kudzu is certainly incredible, but other invasive species in the southeast US (where I live ) are nearly as impressive. Wisteria comes to mind; it's not as obvious until it's in bloom. Other honorable mentions: Chinese privet, Asian Bittersweet, elaeagnus, and English Ivy. All of the aforementioned grow in my yard and their aggressive growth is unbelievable (especially elaeagnus... It's a shrub that can climb like a vine!).