The whispy frond stuff is fennel. The stalks have a great flavor, but they are too tough to eat raw. I've heard that they can be steamed or microwaved to make them tender, and I might have to try it.
I'm going to try uprooting a whole plant so that I can eat on of the bulbs at the plant base this weekend. That's the part most people eat. The seeds are also used in lots of Asian cooking; some of these plants are flowering, so seeds won't be too far behind.
The other photo is of my poblano peppers. We might be having some stuffed peppers sometime soon.