Pulling wayward lilies of the valley out of the lawn reminds me that a weed is commonly defined as any plant in the wrong location.
Some plants, though, I just can't consider to be weeds. Ever. The pristine blossoms of star-of-Bethlehem
Ornithogalum umbellatum give it a free ride where ever it wants to go. Even smack dab in the middle of the lawn is perfectly okay.

Same goes for woodland phlox, jack-in-the-pulpit, and mayflower.

On the other hand, Japanese knotweed
Polygonum cuspidatum is never welcome, any time or any place. After almost two years of battling this beast, I have practically eradicated all vestiges along the side property line. And, I am proud to say, without the assistance of herbicides--all natural, hand-pulled goodness. A few weak shoots poke up every few days, but nothing that can't be corrected by a gentle tug.
So I am happily too late to take advantage of these
Japanese knotweed recipes offered by the New England Wild Flower Society
What is more primal than physically consuming your enemy? Bet these recipes taste delicious!