Cell membranes are continually undergoing a wide range of shape transformations. Here, we demonstrate the formation of several structures in supported bilayers, including tubules, caps, and giant multivesicular structures. The key elements required for these transformations are osmotic pressure imbalances, insertion of lipids with positive curvature, and lipids whose curvature is dependent on the screening environment. With these elements, a wide variety of transformations can be achieved in the absence of protein.