.308 Win, .308, 7.62 NATO, & .308 NATO are all different names for the same cartridge.
The NATO cartridges are limited, in the number & type of bullets loaded by the factory/arsenals, while the commercial loads are available in a wide variety.
The same basic case was also used to make the commercial .243 Win, .260 Win, 7mm-08, .338 Federal, and the .358 Win. - and untold numbers of wildcat cartridges.