Abstract : We present some recent developments in the domain of the two-dimensional Potts and O(N) models. Some keywords: Duality of coupled Potts models. Chromatic polynomial, Beraha numbers. Tutte polynomial, phase diagram of the Potts model. Compact polymers, Tait colourings, Flory model of protein melting, Goldstone phase in the O(N) model. Coupling the O(N) model to quantum gravity, meanders, knots, links. Ferromagnetic random-bond Potts model, gauge glass. Coupled Potts models, parafermionic conformal field theory.