As with most greens, Asian greens can be steamed, stir-fried, stewed, braised, chopped, and cooked in dumplings or soups. Some of these can even be served raw in salads! Here's a guide to some popular varieties to help you shop like a pro.
http://www.thekitchn.com/a-visual-guide-to-10-varieties-of-asian-greens-98840