I own the 850W G2 model myself. The primary difference is that G3 model is a more compact than the G2. The secondary difference is that the G3 uses the new Super Flower platform (for a more compact design mostly). The components and build quality are high quality on both. From what I have read the G3 has a slightly better efficiency (but almost insignificant) and a bit less voltage ripple (9mv vs ~15mv)exceptional results on both. 'Mythic level' voltage regulation on rails for Both G2 and G3.
Both are quiet, the G3 has a hydraulic bearing fan which is supposed to last longer but I wouldn't concern about that too much. In your case, I would go for the 650W G2.
For comparison:
750W G3...