Can I flicker Aurelia to get more than two attack phases?
Yes. 

There are two completely separate Aurelia, the Warleader in the scenario.

The first attacked in the first Combat Phase before being removed from the battlefield using Acrobatic Maneuver.

The second was placed on the battlefield by the blinking ability and went on to attack in the second Combat Phase.

It's of no relevance that the same physical card represents both Angels.


  400.7. An object that moves from one zone to another becomes a new object with no memory of, or relation to, its previous existence. [...]


When a card refers to itself by name, it means "this object".


  201.4. Text that refers to the object it’s on by name means just that particular object and not any other objects with that name, regardless of any name changes caused by game effects.


As such, the post-blinking Angel first attacks in the second Combat Phase, triggering the creation of a third.