Dreaming of greening

I've spent much of the morning planning this year's garden. It is not a big yard, but I got down to mapping it out, and there's a lot of plantable space. More than I can probably plant this year, actually! I hear the way to do it is to expand the garden a bit each year, and that does seem the most manageable way, but oh, I wish I could just fill the yard with flowers and fruits and vegetables.

A corner of the yard doesn't drain very well. I'm going to try to see if I can get things together enough to make some raised beds, but it will still be wet underneath. Are there any plants that like such conditions? Other than rice, I mean...?