I don't get much in the way of weeds, the odd dandelion or rose bay willow herb. Used to get buttercups and clover, but have now disappeared. The nuisance plants in my garden are the creeping potentilla, herb Robert, soapworts. All pretty plants in their own right, but just go everywhere and get tangled up through plants.
In general though I am fairly tolerant of weeds as long as there aren't too many. Everything has its place in the Eco system. I love to see a verge full of dandelions, they look so bright and cheery, such a lovely colour. The field behind us has rosebay willow herb which looks wonderful in flower, the white variety has become a garden plant nowadays. I guess it's back to the old say that a weed is just a plant in the wrong place!