Display the platters on the wall by placing them in plate hangers. These are inexpensive and available at discount, craft and hobby stores or home decor stores. Just hammer a nail onto the wall where you want to hang one platter or form a grouping.
Place a platter onto a coffee, end or sofa table as decor. This is particularly appealing if it has a scalloped or another type of interesting design around the perimeter. Set a pillar candle, faux fruit, round decor balls or other objects in the platter to draw attention to it.
Stand up a platter in the center of your china cabinet on a plate easel. This provides a focal point that you can surround with smaller dishes. This is also an effective way to add the platter to an end table or sofa table.