The study of confined condensed matter is motivated by the observation that when the range of molecular interaction and the length scale associated with position correlation in a system are similar to the length scale of confinement, that system can support structures and have transport properties that differ from those found in the bulk. This Letter is a selective overview of information that has been obtained about the nature of phase transitions from studies of confined quasi-two-dimensional colloid suspensions, with attention paid to the roles of the colloid-colloid interaction and the extent of deviation from an idealized geometry of confinement, e. g. whether and/or how phase transitions in quasi-one-dimensional and quasi-two-dimensional systems differ from those in a two-dimensional system or a three-dimensional system. (C) 2009 Elsevier B. V. All rights reserved.