Chain-growth polymerization of aromatic building blocks (termed catalyst-transfer polycondensation or CTP) has emerged as a powerful method for the controlled synthesis of conjugated polymers. CTP affords semiconducting materials with predictable molecular weights, relatively narrow molar mass distributions and tailored backbone compositions (e.g. blocks, gradients, stars). Homogeneous catalysis utilizing transition metals has played a critical role in the rise of this field and this Minireview is designed to highlight some of the catalysts employed for these polycondensations. Some descriptions of the metal and ancillary ligands are included, along with which catalysts have been used for different aromatic monomers. Cross-coupling strategies are discussed briefly for ease of use. Finally, some potential future directions are described for further evolution of this exciting area.