I would recommend that anyone who has only seen one version of this film make an effort to see whichever version you haven't seen. The changes that have been made between the Japanese/International version and the American version are very telling, in themselves.
Quite a few people criticize the suit design in this movie, but I think it's my favorite out of all the suits from 1954-1995. It looks the least like any 'real' reptile and more like a maddened, nuke-scorched monster. Or maybe just a big, green charcoal briquette with eyes. Anyway, it's feral and mindless, which is what Godzilla originally was. None of this superhero-friend-to-children-single-dad B.S. He's indestructible, he's angry, and he's going to destroy things. Why? Because.
I agree with the criticism of the FX. Even though we don't expect miracles from a Godzilla movie, this one had some rough spots that typically didn't appear in even the cheapest of the series' offerings. One scene in particular comes to mind: when Godzilla does a firesweep of the military equipment firing on him as he comes out of Tokyo bay, the angle of the animated firebreath doesn't match the aim of the monster's head.
I also agree that there isn't enough city-smashing. Some people prefer monster vs. monster battles, some prefer monster vs. military, I'm one of the group that likes to see major metropolitan areas levelled. Frankly, this movie didn't fully satisfy ANY of the three groups, as far as I can tell.
All that said, this is my second-favorite Godzilla film, after the original King of the Monsters and before Godzilla vs. King Kong. De gustibus non est disputandum.