Both the English system and metric system define basic units, not derived units. Other systems are left to define the derived units. The metric system defines the kilogram and the meter, that's it. The rest of the basic units do not necessarily belong to English or metric or any other system. They've been adopted by both systems.
SI units are a standardization that happens to be based on the original metric system.
BTW, English is not a recognized system. The English system is consistent and coherent. They are the creators and maintainers of the SI system. You give the false impression that they are some sort of independent organizations that decide what systems to be recognized or not. This is not the case.