An integrated circuit assembly includes a first electrically conductive sheet, a second electrically conductive sheet electrically isolated from the first electrically conductive sheet, a non-conductive material disposed between the first and second electrically conductive sheets, an electrical trace disposed on the non-conductive material and electrically isolated from the first and second electrically conductive sheets, and an integrated circuit having at least one lead directly connected to the first electrically conductive sheet, at least one lead directly connected to the second electrically conductive sheet, and at least one lead electrically connected to the electrical trace. Other integrated circuit assemblies and method for making integrated circuit assemblies are also disclosed.