Bindweed is horrible stuff, trying to get it out to plant vegetables in my parents' new property and it's literally everywhere - the lawn, the beds, the alley, not just our property but all over the neighborhood. I'll do what I can but I think my parents will be fighting this one for a good long while.
Another one I haven't seen mentioned is spiderwort. I guess people grow it as an ornamental, but it looks horrible after it flowers, reseeds everywhere, is difficult to pull, regrows from roots, likes to root under cracks in sidewalks, etc.... I fought it for 5 years at my last property and my parents have some too, lucky them.