As it happens, the correct stuff, which as Dan says is Castrol LM, happens to be one of the cheapest, so there is every reason to use it on other minor items such as door and bonnet hinges, speedo cable, etc, as well as all 8 grease nipples, regularly.
Don't be tempted to use it in CV joints, for which you MUST use Duckhams Molybentone, or the equivalent CV grease sold for modern cars.
Very old Minis with the cast iron water pump may have a grease nipple. Not sure if any of these pumps still survive, but if so, they need special water pump grease.
Battery terminals, preferably nothing but Vaseline.