A man in sprayed in the face with some sort of acid. He's later shown being carried away on a stretcher.
A boy gets a bloody scrape on his knee. He's immediately healed by the aforementioned monster.
A submarine is blown up by a monster.
A monster rampages through a city. Actual on-screen destruction is barely shown, save for a scene where the monster levels an empty school building.
Mothra and the monster engage in a lengthy fight for a large portion of the movie. Nothing graphic is shown during these fights.