A is already the class - its name is under A.__name__. 
If you try A.__class__.__name__ you will get to the class of which A is instance (that is, its metaclass), name.
A.__mro__[0].__name__ will follow the "method resolution order" for the class A - the __mro__ object is a tuple with all the class hyerarchy that starts in the defined class itself and ends in object. So, A.__mro__[0] will always be A itself - and A.__mro__[0].__name__ is the same as A.__name__.
The __name__ and __qualname__ attributes are writable attributes: changing { __qualname__ after the class is created will change the default __repr__ for instances of that class, for example. Although they are in the language definition and "live" in slots in the class (not on it's dictionary), it is possible to create a __name__ property (I mean, the built-in property object, or any other descriptor) on the metaclass that will dynamically change the __name__ attribute of a class (but not __qualname__ - this must be an attribute of the class, and must be a string)