Hey guys. I purchased this raspberry pi about a year and a half ago. I had this exact problem (Crashing to a black screen randomly). It is perfectly stable while installing an OS, but once in an OS, it is incredibly unstable to the point where it is nothing more than a paper weight. I completely gave up on the thing, and tossed it into the closet because nobody could assist me back then. I've suddenly had the urge to try and get this thing working again, and hopefully over time, some of the more experienced users have figured this issue out. I have used approximately 6 or 7 different power supplies, the newest being a Galaxy Note 4 charger that is rated at 5 volts @ 2 amps. I tested the voltage across the board, and it sits between 4.92-5.05 volts. I have also tried numerous SD, and micro SD cards. All of which made no difference. I JUST installed the latest version of Raspbian and still have the same issue. Any help would be appreciated.
EDIT: It doesn't seem to be an HDMI issue, since I checked both outputs.