The role of individual factors in behavioural neuroscience is an important, but still neglected area of research. The present review aims to give, first, an outline of the most elaborated theory on animal behaviour, and second, an overview of systematic approaches of historic and present animal models of human psychopathology based on individual differences. This overview will be focused on animal models of unselected subjects (i.e. natural variance of a specific behaviour within a given population) and selected breeding for a specific behaviour. Accordingly, an outline of the personality model from Gray and McNaughton of individual behaviour in animals is given first. Then, a comprehensive overview of past and current animal models in novelty-seeking (i.e. psychomotor activation and exploration behaviour) based on systematic individual differences and its relationship to addiction is presented. Third, this will be followed by a comprehensive overview of individual differences in previous and present animal models for anxiety. Finally, critical aspects of such approaches in animal research are discussed, and suggestions are given where to go from here.