After Effects: How do you align all repeater stars the same way in a circle?

You won't be able to use the repeater or a combination of them because you cannot rearrange the order of the transform properties. Rotation happens after the position and anchor point.

You'll need 50 copies of the star shape, a parent null in the center, and an expression that rotates each star 360/15º for each copy of the star. If you set it up by layer index, you can create the first star and duplicate the layers. Something like this will work, but you will need to adjust the star size to compensate for the frame size of the comp.

//Contents/Polystar 1/Polystar 1 Transform/Rotation
m = index;
r = 360/50;
n = m * r - r;
-n

//Contents/Polystar 1/Transform Polystar 1/Position
t = - thisComp.height/2;
h = content("Polystar 1").content("Polystar Path 1").outerRadius;
y = t + h;
[0, y]

// Transform/Rotation
m = index;
r = 360/50;
n = m * r - r;

All you have to do then is duplicate the Shape Layer until you have 50 copies.

Pre-compose/Collapse transformations, and you are good to go. 

You'll have better luck using text on a circular path.

Mylenium