It's impossible not to recognize these "tributes" to The Matrix. I don't necessarily object to them on grounds of homage, but rather than the grounds that these scenes have little business being in a Godzilla movie. We don't see Godzilla movies to see super-powered humans and aliens in martial arts, wire-work action scenes.
This movie -- a thinly-veiled re-working of the Destroy All Monsters narrative, resurrects Manda (the water dragon), King Caesar, Rodan, Minya, Mothra, Anguirus, Hedorah, Ebirah (The sea monster…) and even the giant spider, Kumonga and the preying mantis, Kamacurras of Godzilla’s Revenge (1969).
I also don’t mind seeing Godzilla kick his ass with one whip of his tail.
But in terms of the monsters, I loved seeing Rodan wreak massive special effects havoc with his sonic waves, and also loved Anguirus’s depiction as a flying, ricocheting ball of spikes. Manda's attack on a human Atragon ship/sub also shows him in fine monster form.
But Minya, finally, helps Godzilla to forgive us all in the film’s final moments. Godzilla’s choice to forgive is oddly affecting, and one of the few moments of “genuine” not-hyped up emotions in the entire film. I also like the fact that the moment is not hyped for super-schmaltzy super-sentimentality.