Agree -- grape and pokeweed. I let them both grow in out of the way areas of the yard.
Pokeweed can get HUGE -- 8-10 ft with 2" trunks/stems -- loaded with the purple berries wild birds love to eat. It dies back in winter and comes back in the same spot from a big root every spring. So I have to remove the dead giant trunks/stems.
Grapes takes a while to mature enough to bear fruits, but the leaves support pretty moth larvae (in addition to Japanese beetles

).