Historically, quasi-low-dimensional superconductors were considered as the main candidates to observe high-temperature superconductivity. For a disc- sion of the related exotic mechanisms of superconductivity, suggested by W.A. Little and V.L. Ginzburg, see a chapter by D. J erome in this volume. Unf- tunately, high-temperature superconductivity has not been discovered yet in quasi-one-dimensional (Q1D) and quasi-two-dimensional (Q2D) organic ma- rials. Nevertheless, very rich and, in many cases, unique physical properties of their metallic, superconducting, charge- and spin-density-wave...