Thin film transistor based three-dimensional CMOS inverters utilizing a common gate bridged between a PFET device and an NFET device. One or both of the NFET and PFET devices can have an active region extending into both a strained crystalline lattice and a relaxed crystalline lattice. The relaxed crystalline lattice can comprise appropriately-doped silicon/germanium. The strained crystalline lattice can comprise, for example, appropriately doped silicon, or appropriately-doped silicon/germanium. The CMOS inverter can be part of an SOI construction formed over a conventional substrate (such as a monocrystalline silicon wafer) or a non-conventional substrate (such as one or more of glass, aluminum oxide, silicon dioxide, metal and plastic).