An exclave is not necessarily the same as an enclave. The region Kaliningrad is not surrounded by one state only, but by two: Lithuania and Poland and it also borders the Baltic Sea. For it to be an enclave, it would have to be entirely surrounded by one state. Other exclaves that are not enclaves include: the Nakhchivan Autonomous Republic.
The term is also used to refer to detached parts of other territories, such as the traditional counties of Flintshire and Cromartyshire in the United Kingdom.