We always start rooting around for baby potatoes as soon as it looks like we may get some. If you're careful, you can swipe a few from wherever you find them, and leave the rest to grow.
Wash 'em. Boil 'em. Cover them with lots of butter and fresh green dill. mmmm.........
About all we've been able to use is chives and rhubarb so far. I guess we could probably grab a few green onions if we tried. I also have tomatoes blooming, but they're in the greenhouse. The outside ones are still scared to go out to the garden. It's been so windy here lately they'd just get pounded anyway.