I'm not sure I understand the question, but
The first three on your list could be classified as English for Specific Purposes (ESP for short), and you could add such things as English for computing; English for the hospitality industry; Legal English; etc. As for the final item on your list you could rename this as colloquial English which I guess belongs in General English.
Business English, it should be noted, is often separated from ESP and treated as a separate entity.
I hope this is what you were asking.