Angular didn't get rid of this. In angular, you use scopes to communicate values between controllers and views. this is the function execution context, which means it's the object the current function or property is being called on.
But AngularJS isn't written to use this in databindings, it's written to specifically parse those {{}} databindings and look for properties on the corresponding controller's scope object.
So Angular sees the following:
<div ng-controller="mainCtrl">
<p>{{myVariable}}</p>
</div>
And knows to go to the mainCtrl controller and look in the $scope object to find the myVariable variable. this never enters into it.