Dispersions of micron-sized colloidal particles are relevant for applications (ink, paint, etc) but are also ideal model systems for classical statistical mechanics in order to understand phase transitions (liquid-solid, fluid-fluid demixing, glass formation). By applying an external field (e.g. electric or magnetic field) one can tailor the interactions between the particles and bring them into nonequilibrium in a controlled way. This leads to novel emerging behaviour. After an introduction the following examples will be discussed: lane and band formation in driven binary systems, hydrodynamic instabilities on the particle scale, and the complex structure formation in suddenly quenched dispersions.