Semiconductor devices may include a semiconductor substrate comprising at least one of transistors and capacitors may be located at an active surface of the semiconductor substrate. An imperforate dielectric material may be located on the active surface, the imperforate dielectric material covering the at least one of transistors and the capacitors. Electrically conductive material in contact openings may be electrically connected to the at least one of transistors and capacitors and extend to a back side surface of the semiconductor substrate. Laterally extending conductive elements may extend over the back side surface of the semiconductor substrate and may be electrically connected to the conductive material in the contact openings. At least one laterally extending conductive element may be electrically connected to a first transistor or capacitor and may extend laterally underneath a second, different transistor or capacitor to which the laterally extending conductive element is not electrically connected.