For a stable flyer, the lightest wind kite I have is a 9' x 3' Genki.
It was and UL but 5 years ago I turned into a SUL. Switched to skyshark tubes and carbon rods. Also went down to a 50lb bridle to cut down all weight.
It will fly in very low winds of 1-2 mph but requires a long launch of around 100'.
Added Gomberg's small 24' transition tails. Looks greats and can be added in winds above 4mph. I call the Genki my "Date Kite" because it the one I fly when my wife want to go out to a park as she only goes when the wind is low.
I have build both a Person Roller and Dunton Taylor and own several Roks. While these are good UL kites, they do not fly in lowest winds like the Genki. The Dunton Taylor has a HUGH wind range and worth building. All the above would be a great addition to you kite bag.