The Dandelion has always seemed more like a flower to me than a weed. Its bright yellow "flowers" have always brought a smile to my face, and when it turns to seed, I've always made a wish and blown the seeds around the yard--against the better advice and judgment of more proficient gardeners than me.
And
allium is a beautiful flower, whether it is in the white variety or the purple or blue (this blue flower is a bachelor button not an allium)however, it is really from the onion family. You can read more about them
here. I just thought I'd share the idea of planting onions, garlic and other herbs and merely letting them go to seed. You might be surprised by what you get and pleasantly.