In one embodiment, a method for making a 3D Metal-Insulator-Metal (MIM) capacitor includes providing a substrate having a surface, forming an array of upstanding rods or ridges on the surface, depositing a first layer of an electroconductor on the surface and the array of rods or ridges, coating the first electroconductive layer with a layer of a dielectric, and depositing a second layer of an electroconductor on the dielectric layer. In some embodiments, the array of rods or ridges can be made of a photoresist material, and in others, can comprise bonded wires.