Jewel,
I've found that Dahlias grow well for me, but they do suck up a bit of water. Oddly enough, my Nasturtiums do well if I start them indoors and let them get going, then move them outside and just leave them alone for the most part. Of course roses do well in the South, and the hotter it is, the more they seem to flourish. I grow Verbena as well, but it's rather temperamental for me.
Other than that, I have some wild Honeysuckle and Morning Glory, which I absolutely adore. And it's literally very wild. It was half-dead when we moved into this house, and all I've done is give it a trellis and watered it a few times.
I think this year I'm going to experiment a little more with growing some different things from the deck. I enjoy planting and growing, and I'd love to be able to get more Victorian flowers and herbs growing.
EDIT: Eeeep! I forgot about my Marvel of Peru! I have to be careful with them, because if I leave them alone for too long, they go all over the place! I started them from seeds, and I swear, I thought they were never going to sprout!