The Photon minis and the Princeton Tec Pulsars are virtually identical in brightness, longevity, size, and any other performance issues. About the only thing different between them are their shape, one being symetrical and the other not. Of the brands that are that small, these two are the most widely acclaimed.
The Arc AAA is a different category of light IMO. It has big advantages over the above two but also has disadvantages like being more costly up front, and being larger.
If you only occasionally use your light and only for short periods of time, the Photons or Pulsars are perfect. And being only slightly bigger than a quarter, it can fit in your pocket very easily.