SGH-T999L Works good So far  definitely better in ui and stability  and just overall  than the other obvious choices in this category; SU might be good for other variants of the gs3  but obviously not for the LTE model of the tmobile sgh-t999L. (L) being the LTE variant of sgh-t999's. Granted though  that's running cm 11 and cwm  so not sure about the stock rooted Rom. Works on every other non stock rom I've tried as well.
March 01 2014