The phase transformations can proceed not only between bulk phases but also in free surfaces, grain boundaries and interphase boundaries. In this review we consider the grain boundary phase transformations in Cu- and Al-based alloys. In particular, among those transformations are the transitions between compete and incomplete grain boundary wetting. The wetting phase can be either liquid or solid. If the wetting phase is solid, the portion of wetted grain boundaries can increase also with decreasing temperature. The transition itself can be discontinuous (of the first order) or continous (of the second order). The thin layers of grain boundary phases (called also the grain boundary complexions) can occur in the conditions (temperature, pressure and concentration) where only one volume phase can exist. The phenomenon of the pseudo-incomplete (or pseudo-partial) grain boundary wetting is also discussed. In this case the non-zero grain boundary contact angle coexists with thin layer of grain boundary phase. The new lines of respective grain boundary phase transformations appear in the conventional phase diagrams for three-dimensional phases. The grain boundary phase transitions can strongly influence the properties of grain boundaries themselves and those of polycrystals as a whole. For example, the presence of grain boundary layers can increase the plasticity (if the phase is ductile) or decrease it (of the grain boundary phase is brittle). The influence of grain boundary phase transitions increases with decreasing grain size and becomes critical in nanograined materials.