I could very well picture Godzilla getting another monster in some type of headlock, and using his other hand to bash it's skull in. Now, I don't mean like a WWE wreslting match, but a good example of this would be like the kong v. t-Rex's scene in the 2005 King Kong. Of course Kong and Godzilla would not fight the same, but the type of intelligent, aggressive combat would suit a more agile Godzilla, who I personally hope to be featured.
I mentioned the Intelligence of the FW Godzilla as a good base to utilize a more advance combat style, and the body of the FW Gojira, to have enough bulk to appear powerful, but not too cumbersome and sluggish, as I thought the Heisei suit made him look, that way he has the body type to match his aggressive style. Granted the Heisei suit was heavy, and the suit actor could only do so much.
I too hope we don't see more "beam wars", though I seriously doubt Legendary would do that, considering all the SFX they have at their disposal. I hope the beam is more or less reserved, the first time about halfway between his character reveal, and the end of the movie. And once or twice more during the final conflict, just to establish the destructive power of the beam.






