Latest version looks good to me (aside from a quibble about whether StopAsyncIteration should inherit from BaseException instead of Exception - see my review for details).

Based on Guido's explanation in the review, I also suggested adding the following example method to the PEP as part of the rationale for StopAsyncIteration:

    def __anext__(self):
        try:
            data = await self._get_data()
        except EOFError:
            raise StopAsyncIteration
        return data

The trick is that when __anext__ is itself a coroutine, we really do have 3 exit paths:

* suspension to wait for events (await)
* returning the next value (return)
* terminating iteration (raise StopAsyncIteration)