I don't understand, are you trying to make my decisions harder or easier? ;)
Gh3 is a great deal for the money. G6 is not a whole lot different. But it has peaking and cleaner moire/aliasing. GH3 has audio and higher bitrates and build quality. G6 is compatible with my GH2 accessories (batteries, etc). GH3 has more wide spread support (popularity, other accessories, etc).
::head explosion::
Andrew, we need a Non-RAW shootout! D5200, G6, GH3, heck throw in some Sony RX and whatever you have laying around that takes good quality without a crazy workflow and and unmanageable amounts of storage!