I took a stab at trying to develop a package of scene files designed to deliver approximately the same look as a GH4 would do. They're different sensors, different controls, so it's not easy to make them match exactly, but some of these are pretty darn close, and some are... not as close, but closer than the stock scene files would have been.

These scene files were created using a GH4 on all zero settings. If you like to boost the noise reduction or cut the saturation or whatever, you can do those same things on the DVX200 using the appropriate controls. I set the GH4 on auto-exposure, with all parameters at 0, levels of 0-255, and swapped among the various color profiles.

In this package are an emulation of the GH4's Natural, Scenery, Portrait, Cine-D, Cine-V, and Standard profiles.

This is saved as SCENE2.TXT. Within SCENE2.TXT are six scene files:
SCN1/SCENE1 is Natural
SCN2/SCENE2 is Scenery
SCN3/SCENE3 is Portrait
SCN4/SCENE4 is Cine-D
SCN5/SCENE5 is Cine-V
SCN6/SCENE6 is Standard

Note, I didn't try to match noise levels or sharpening or anything like that; I was strictly working on gamma and color, and overall exposure. These were tested against three standardized charts: the ChromaMatch, the CamBelles, and a Chroma DuMonde, using both cameras in tungsten preset and auto-exposure.

Download the GH4 scene files here, experiment, and adjust them to see if they can get you the results you're looking for.
http://www.fiftv.com/DVX200/Scene_Files/GH4_Scene_Files/SCENE2.TXT

Hi Berry,
thank you very much for providing your scene files. This is extremely welcome, even when I do not own a GH4 but "only" the FX200.
One question: When I look into the file with a text program, there are addresses 0002 ... 0058 for each of the parameters of the six scene files. Do you know the the parameter names for each of these addresses, and if so, could you publish them?
Joachim