https://en.wikipedia.org/wiki/List_of_countries_that_have_gained_independence_from_the_United_Kingdom says the current count is 65 countries, but cites https://www.guinnessworldrecords.com/world-records/most-countries-to-have-gained-independence-from-the-same-country which says 66 (4 + 62).

France and Spain are in second and third place with 28 and 17, respectively.