An exclave is necessarily an enclave of some other country, but some enclaves are countries in their own rights, and therefore not exclaves. Examples of these include:
A coastal territory, such as the Spanish town Ceuta, UK territory Gibraltar, Ocussi-Ambeno an East Timorese exclave in Indonesian West Timor or the Russian territory Kaliningrad (which, before World War II, was the German city of Koenigsberg) is technically not called an enclave, since it is accessible by sea but they are commonly called this by many people anyway.
Others famous exclaves are West Berlin (prior to the unification of Germany) and Baarle-Hertog, a Belgian exclave in the Netherlands.
The most embodied enclave in the world is an Indian exclave called Dahala Khagrabari[?], which is embodied in a Bangladeshi enclave called Upanchowki Bhajni[?], which in turn is an enclave to the Indian exclave Balapara Khagrabari[?] which in turn is an enclave to Bangladesh.
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