The term GTI has often been used to refer to any hot hatch, since Volkswagen's competitors put into production fast versions of their own family hatchbacks. At first mostly called GTI (or GTi), they are now rarely named that way since insurers apparently associated the term with a high risk, even allowing for the higher risk always involved in insuring faster cars.
Small fast cars without hatchbacks such as the the Mini Cooper are not generally called hot hatches.
Classic hot hatches include: