I wanted to bring this thread back to life with another suggestion: make chard into namul. Cook the leaves to the desired texture, then immediately plunge into cold water to stop them cooking any more. Once cool, drain them and then grab a handful and start squeezing all the water out--get it as dry as you can. Once it's all compressed, chop the leaves and season with a touch of soy sauce and vinegar and then a more generous splash of sesame oil. Sprinkle with sesame seeds if desired, and serve chilled or at room temp.
I make this a lot in the spring and summer, with all sorts of leafy vegetables including chard and beet greens. Also things like radish tops and broccoli leaves, though they required a lot longer cooking time than the chard.