I love oddball plants, any lily that isn't well known or has some odd features can interest me. I'm most into dark reds, purple or "stargazer" type colors. As long as the plant is healthy I don't mind slow growers, or fewer flowers than some of the more popular types.
I prefer to pay vs trade because I can be very disorganized. Right now the only lily I can certainly ID for trade is tiger babies which are naturalized really well in my yard.