Seeds I prefer to be non-GMO/Organic:
Amaranth
Corn - popping variety (ex: Cherokee Long Ear, Glass Gem, Strawberry popcorn, etc...)
Ground Cherry
Huckleberry
Lettuce - romaine types (other than Paris Island Cos)
Lettuce - head/iceberg types (other than Buttercrunch)
Poppy - edible variety (such as Hungarian Breadseed, Pepperbox, etc.)
Onions - red varieties (Whethersfield Red, Flat of Italy, Red Wing, etc.)
Radishes
Spinach - (other than Bloomsdale)
Squash -- Jarrahdale - I can't believe I forgot to add this, initially!
Watermelon - Moons N Stars
Other Wants:
Amaryllis (possibly) - known cross only
Bachelor Buttons
Bells of Ireland
Butterwort
Coneflower - white variety
Daisy - Chocolate
Daylily (possibly)
Hoya (possibly)
Jovibarba (possibly)
Living Stones
Nasturtium - Black Velvet
Pepper - Chinese 5 color
Pepper - other hot pepper (that can be grown in my climate)
Petunia in 'candy stripe' coloring
Plumbago (possibly) - blue
Sempervivum
Succulent seeds in general
Sunflower - Irish Eyes
Sunflower - Italian White
(I assume we aren't allowing 'bulbs' to be part of the seed swap, are we?...If we are, there are a number of amaryllis I would love)
New additions (since 11/14):
Marigold - Tiger's Eye
@Dave - Are personal plant lists searchable? I don't see a search feature and it's really time-consuming to sift through the pages looking for something on my list, as well as other people's lists.
[I'm editing this list a bit as I think of new items, so it is in flux...]
[Edited on 11/15/15 to remove carrots, daikon radishes, and one or two other things from wish list that I just received as part of an online order placed awhile ago.]