Finishing Edges

I'm at a loss as to how to finish the edges on these pieces, any and all suggestions would be greatly appreciated. I hate doing bindings so we will just rule that one out from the get go! On two of the pieces the top fabric is larger than the back so I could fold it over the edge and hem onto the backing. The burgandy one is flush with the edges. I don't know that a zigzag edge is right for these pieces or not.