Problem starting up rpcs3.exe

Required files from the PS3's firmware
Due to copyright issues you need a dump of those firmware files from a PS3 console you own.
Both flashATRAC.pic and flashMP3.pic are mandatory to run games.
External .prx/.sprx (LLE) libraries which are used to reach further in the emulation of almost every game.

So you need to get them your own PS3 consoles, that's how you do it legally.